Universal Hardy-Sobolev inequalities on hypersurfaces of Euclidean space

Authors: Cabré Vilagut, Xavier, Miraglio, Pietro

Contributors: Universitat Politècnica de Catalunya. Departament de Matemàtiques, Universitat Politècnica de Catalunya. TF-EDP - Grup de Teoria de Funcions i Equacions en Derivades Parcials

Subject Terms: Àrees temàtiques de la UPC::Matemàtiques i estadística, Inequalities on hypersurfaces, Michael–Simon Sobolev inequality, Carron Hardy inequality, Mean curvature, Classificació AMS::26 Real functions::26D Inequalities, Classificació AMS::46 Associative rings and algebras::46E Linear function spaces and their duals, Classificació AMS::53 Differential geometry::53A Classical differential geometry

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Relation: http://hdl.handle.net/2117/388185

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https://doi.org/10.1142/S0219199721500632

The optimal exponent in the embedding into the Lebesgue spaces for functions with gradient in the Morrey space

Authors: Cabré Vilagut, Xavier, Charro Caballero, Fernando

Contributors: Universitat Politècnica de Catalunya. Departament de Matemàtiques, Universitat Politècnica de Catalunya. TF-EDP - Grup de Teoria de Funcions i Equacions en Derivades Parcials

Subject Terms: Àrees temàtiques de la UPC::Matemàtiques i estadística, Morrey spaces, Optimal embeddings, Cantor sets, Classificació AMS::42 Fourier analysis::42B Fourier analysis in several variables, Classificació AMS::46 Associative rings and algebras::46E Linear function spaces and their duals

File Description: 36 p.; application/pdf

Relation: https://www.sciencedirect.com/science/article/abs/pii/S000187082100030X; info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2017-84214-C2-1-P/ES/ECUACIONES EN DERIVADAS PARCIALES: PROBLEMAS DE REACCION-DIFUSION, INTEGRO-DIFERENCIALES Y GEOMETRICOS/; info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-110712GB-I00/ES/ECUACIONES CON PERTURBACIONES DE POTENCIAS DEL LAPLACIANO/; http://hdl.handle.net/2117/388186

Availability: http://hdl.handle.net/2117/388186
https://doi.org/10.1016/j.aim.2021.107592

On a modular equation II: On a modular equation. I

Authors: Jędryka, Tadeusz, Musielak, Julian

Subject Terms: Linear function spaces and their duals, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)

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Access URL: https://zbmath.org/3541453
http://repozytorium.ukw.edu.pl//handle/item/5423

Localization of frames II: Localization of frames. II

Authors: CORDERO, Elena, K. Gröchenig

Source: Applied and Computational Harmonic Analysis. 17:29-47

Subject Terms: Signal theory (characterization, reconstruction, filtering, etc.), Banach frame, 1010 Mathematics, frame, 1010 Mathematik, Summability and bases, functional analytic aspects of frames in Banach and Hilbert spaces, Multidimensional problems, Jaffard lemma, Quasi-Banach space, 01 natural sciences, Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.), Jaffard's lemma, Linear function spaces and their duals, Frame, 0101 mathematics, Nonlinear approximation, Besov space, shift-invariant space, Applied Mathematics, Frame algorithm, quasi-Banach space, General harmonic expansions, frames, Wavelet frames, nonlinear approximation, Besov spaces, wavelet frame, Shift-invariant spaces with multiple generators

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Access URL: https://zbmath.org/2081609
https://doi.org/10.1016/j.acha.2004.02.002
https://ucrisportal.univie.ac.at/de/publications/b8b84944-9859-4952-87ea-67760a6c99d6
https://www.sciencedirect.com/science/article/pii/S1063520304000326
https://core.ac.uk/display/82624401
https://www.sciencedirect.com/science/article/abs/pii/S1063520304000326
https://hdl.handle.net/2318/4105

A fundamental principle for invariant subspaces in convex domains: The fundamental principle for invariant subspaces in convex domains.

Authors: A S Krivosheev

Source: Izvestiya: Mathematics. 68:291-353

Subject Terms: spectral synthesis, Entire functions of one complex variable (general theory), entire function, interpolation problem, Linear function spaces and their duals, Special classes of entire functions of one complex variable and growth estimates, 0101 mathematics, Moment problems and interpolation problems in the complex plane, 01 natural sciences, exponential type

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Access URL: https://zbmath.org/2168391
https://doi.org/10.1070/im2004v068n02abeh000476
http://iopscience.iop.org/article/10.1070/IM2004v068n02ABEH000476
https://iopscience.iop.org/article/10.1070/IM2004v068n02ABEH000476
https://ui.adsabs.harvard.edu/abs/2004IzMat..68..291K/abstract

Generalized Fock spaces and Weyl commutation relations for the Dunkl kernel: Generalized Fock spaces and Weyl commutation relations for the Dunkl kernel.

Authors: Fethi Soltani

Source: Pacific Journal of Mathematics. 214:379-397

Subject Terms: Hermite polynomials, Dunkl operators, Linear function spaces and their duals, commutation relations, Difference operators, Fock spaces, 0101 mathematics, Hypergeometric functions, 01 natural sciences, Special classes of linear operators

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https://msp.org/pjm/2004/214-2/pjm-v214-n2-p10-s.pdf
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https://msp.org/pjm/2004/214-2/p10.xhtml
https://dialnet.unirioja.es/servlet/articulo?codigo=2143853

Backward adaptive biorthogonalization

Authors: Laura Rebollo-Neira

Source: International Journal of Mathematics and Mathematical Sciences, Vol 2004, Iss 35, Pp 1843-1853 (2004)

Subject Terms: orthogonal projections, FOS: Physical sciences, Completeness of sets of functions in one variable harmonic analysis, Mathematical Physics (math-ph), 02 engineering and technology, backward biorthogonalization, 01 natural sciences, Functional Analysis (math.FA), Mathematics - Functional Analysis, Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), 0103 physical sciences, QA1-939, FOS: Mathematics, 0202 electrical engineering, electronic engineering, information engineering, Linear function spaces and their duals, Mathematics, Completeness of sets of functions in nontrigonometric harmonic analysis, Mathematical Physics

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Access URL: http://downloads.hindawi.com/journals/ijmms/2004/701068.pdf
http://arxiv.org/abs/math-ph/0211066
https://doaj.org/article/ab731f701d57465ea9af7923aeb77f5e
https://www.emis.de/journals/HOA/IJMMS/Volume2004_35/1853.pdf
https://dblp.uni-trier.de/db/journals/ijmmsc/ijmmsc2004.html#Rebollo-Neira04
https://www.hindawi.com/journals/ijmms/2004/701068/
https://downloads.hindawi.com/journals/ijmms/2004/701068.pdf

Spaces of Fractional Quotients of Periodic Functions: Spaces of fractional quotients of periodic functions

Authors: L. N. Poltavskii, I Lifanov

Source: Differential Equations. 39:726-749

Subject Terms: fractional quotient, step functions, Linear function spaces and their duals, Linear difference operators, 0101 mathematics, grid functions, 01 natural sciences, Numerical methods for discrete and fast Fourier transforms, integral projection, difference operators

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Access URL: https://zbmath.org/2176560
https://doi.org/10.1023/a:1026154306329
https://link.springer.com/article/10.1023/A%3A1026154306329

Surjectivity of Linear Differential Operators in a Weighted Space of Infinitely Differentiable Functions: Surjectivity of a linear differential operator in a weighted space of infinitely differentiable functions.

Authors: I. Kh. Musin

Source: Mathematical Notes. 71:649-660

Subject Terms: General theory of ordinary differential operators, Linear function spaces and their duals, weighted space, surjectivity of a linear differential operator of infinite order, 0101 mathematics, 01 natural sciences

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Access URL: https://link.springer.com/content/pdf/10.1023/A:1015835904747.pdf
https://link.springer.com/article/10.1023/A:1015835904747

Stability of the Lipschitz extension property under metric transforms

Authors: Pavel Shvartsman, Yu. A. Brudnyi

Source: Geometric And Functional Analysis. 12:73-79

Subject Terms: metric transform, Function spaces in general topology, Metric spaces, metrizability, 0211 other engineering and technologies, Linear function spaces and their duals, 02 engineering and technology, 0101 mathematics, 01 natural sciences, Lipschitz extension property

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Access URL: https://zbmath.org/1756798
https://doi.org/10.1007/s00039-002-8237-9
https://link.springer.com/article/10.1007%2Fs00039-002-8237-9

Local VMO and Weak Convergence in h1: Local VMO and weak convergence in \(h^1\)

Authors: Galia Dafni

Source: Canadian Mathematical Bulletin. 45:46-59

Subject Terms: local Hardy space, Linear function spaces and their duals, 0101 mathematics, 01 natural sciences, \(H^p\)-spaces, BMO, local VMO

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Access URL: https://www.cambridge.org/core/journals/canadian-mathematical-bulletin/article/local-vmo-and-weak-convergence-in-h-1/44507B506B8C6FBE13502E0F6BCE9F2E

POINTWISE CONVERGENCE OF FOURIER SERIES: Pointwise convergence of Fourier series

Authors: Arias-de-Reyna, J.

Source: Journal of the London Mathematical Society. 65:139-153

Subject Terms: Convergence and absolute convergence of Fourier and trigonometric series, maximal partial sum, Linear function spaces and their duals, 0101 mathematics, pointwise convergence, Fourier series, 01 natural sciences

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Access URL: https://zbmath.org/1818760
https://doi.org/10.1112/s0024610701002824

Equivalence of domains with isomorphic semigroups of endomorphisms

Authors: Sergei Merenkov

Source: Proceedings of the American Mathematical Society. 130:1743-1753

Subject Terms: Mathematics - Complex Variables, Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables, FOS: Mathematics, Linear function spaces and their duals, Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables, Complex Variables (math.CV), 0101 mathematics, 01 natural sciences

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Access URL: https://www.ams.org/proc/2002-130-06/S0002-9939-01-06409-7/S0002-9939-01-06409-7.pdf
http://arxiv.org/abs/1305.4387
https://documat.unirioja.es/servlet/articulo?codigo=676835
https://dialnet.unirioja.es/servlet/articulo?codigo=676835
https://www.ams.org/journals/proc/2002-130-06/S0002-9939-01-06409-7/S0002-9939-01-06409-7.pdf
https://www.ams.org/journals/proc/2002-130-06/S0002-9939-01-06409-7/home.html

Frames in two dimensions arising from wavelet transforms

Authors: Laura Rebollo-Neira

Source: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences. 457:2079-2091

Subject Terms: frame representation, wide-band Doppler imaging, Communication, information, 0103 physical sciences, wide-band remote sensing, 0202 electrical engineering, electronic engineering, information engineering, Linear function spaces and their duals, Nontrigonometric harmonic analysis involving wavelets and other special systems, 02 engineering and technology, wavelet transform, 01 natural sciences, time frequency time-scale representation, two-dimensional frames

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Access URL: https://royalsocietypublishing.org/doi/10.1098/rspa.2001.0730

Norm Inequalities for Potential-Type Operators in Homogeneous Spaces: Norm inequalities for potential-type operators in homogeneous spaces

Authors: Joaquin M. Ortega, Carme Cascante

Source: Mathematische Nachrichten. 228:85-107

Subject Terms: Harmonic analysis on homogeneous spaces, Wolff potential, homogeneous spaces, Borel measures, Linear function spaces and their duals, trace inequalities, Other generalizations (nonlinear potential theory, etc.)

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Access URL: http://onlinelibrary.wiley.com/doi/10.1002/1522-2616(200108)228:1%3C85::AID-MANA85%3E3.0.CO;2-D/abstract
http://doi.wiley.com/10.1002/1522-2616%28200108%29228%3A1%3C85%3A%3AAID-MANA85%3E3.0.CO%3B2-D
https://api.wiley.com/onlinelibrary/tdm/v1/articles/10.1002%2F1522-2616(200108)228:1%3C85::AID-MANA85%3E3.0.CO;2-D

Coherent risk measures and good-deal bounds

Authors: Stefan Jaschke, Uwe Küchler

Source: Finance and Stochastics. 5:181-200

Subject Terms: Convex programming, jel:D52, Risk theory, insurance, jel:C61, Coherent risk measures, valuation bounds, portfolio optimization, robust hedging, convex duality, valuation bounds, Linear function spaces and their duals, robust hedging, convex duality, Finance etc, jel:G13, portfolio optimization, coherent risk measures

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Access URL: https://zbmath.org/1617472
https://doi.org/10.1007/pl00013530
http://link.springer.de/link/service/journals/00780/papers/1005002/10050181.pdf

Characterization of Hardy spaces by singular integrals and ‘Divergence-Free’ wavelets: Characterization of Hardy spaces by singular integrals and ``divergence-free'' wavelets

Authors: Joseph D. Lakey, John E. Gilbert, Jeffrey A. Hogan

Source: Pacific Journal of Mathematics. 193:79-105

Subject Terms: Singular and oscillatory integrals (Calderón-Zygmund, etc.), Maximal functions, Littlewood-Paley theory, non-tangential maximal functions, Linear function spaces and their duals, Nontrigonometric harmonic analysis involving wavelets and other special systems, singular integrals, Fourier multipliers, 0101 mathematics, Multipliers for harmonic analysis in several variables, 01 natural sciences, \(H^p\)-spaces, BMO, divergence-free \(r\)-form wavelets

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Access URL: http://msp.org/pjm/2000/193-1/pjm-v193-n1-p06-s.pdf
https://zbmath.org/1463774
https://doi.org/10.2140/pjm.2000.193.79
https://msp.org/pjm/2000/193-1/p06.xhtml
https://core.ac.uk/display/80934107
https://msp.org/pjm/2000/193-1/pjm-v193-n1-p06-s.pdf
https://researchers.mq.edu.au/en/publications/characterization-of-hardy-spaces-by-singular-integrals-and-diverg

Integration with respect to a vector measure and functionapproximation: Integration with respect to a vector measure and function approximation

Authors: García-Raffi, L. M., Ginestar, D., Sánchez-Pérez, E. A.

Source: Abstr. Appl. Anal. 5, no. 4 (2000), 207-226

Subject Terms: 46A32, Linear function spaces and their duals, function approximation, vector measures, Vector-valued measures and integration, 0101 mathematics, 01 natural sciences

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Access URL: http://downloads.hindawi.com/journals/aaa/2000/648976.pdf
https://zbmath.org/1780507
https://doi.org/10.1155/s1085337501000227
https://www.emis.de/journals/HOA/AAA/Volume5_4/648976.pdf
http://ui.adsabs.harvard.edu/abs/2000AbApA...5..207G/abstract
https://www.hindawi.com/journals/aaa/2000/648976/
https://projecteuclid.org/download/pdfview_1/euclid.aaa/1049999352
https://www.maths.tcd.ie/EMIS/journals/HOA/AAA/Volume5_4/226.pdf
https://downloads.hindawi.com/journals/aaa/2000/648976.pdf
http://projecteuclid.org/euclid.aaa/1049999352

On the trend to global equilibrium in spatially inhomogeneous entropy-dissipating systems: The linear Fokker-Planck equation

Authors: Laurent Desvillettes, Cédric Villani

Source: Communications on Pure and Applied Mathematics. 54:1-42

Subject Terms: Boltzmann equation, Partial differential equations of mathematical physics and other areas of application, Markov processes, Kinetic theory of gases in time-dependent statistical mechanics, Transport processes in time-dependent statistical mechanics, Linear function spaces and their duals, Fokker-Planck equation, kinetic equations, Stochastic analysis, entropy, degenerate collision operator, logarithmic Sobolev inequality, Applications of operator theory in statistical physics

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Access URL: https://zbmath.org/1592005
https://doi.org/10.1002/1097-0312(200101)54:1<1::aid-cpa1>3.0.co;2-q
http://cedricvillani.org/wp-content/uploads/2012/07/017.DV-Inhomtrend.pdf

A joint norm control Nehari type theorem forN-tuples of Hardy spaces: A joint norm control Nehari type theorem for \(N\)-tuples of Hardy spaces

Authors: Camil Muscalu

Source: Journal of Geometric Analysis. 9:683-691

Subject Terms: Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.), Hardy spaces, analytic partition of unity, Banach algebras of differentiable or analytic functions, \(H^p\)-spaces, Toeplitz operators, Hankel operators, Wiener-Hopf operators, Linear function spaces and their duals, 0101 mathematics, Linear operator methods in interpolation, moment and extension problems, 01 natural sciences

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Access URL: https://zbmath.org/1542105
https://doi.org/10.1007/bf02921979
https://link.springer.com/article/10.1007/BF02921979