Closed range of generalized integration operators on analytic tent spaces

Authors: Yang, Rong, Zhu, Xiangling

Subject Terms: Mathematics - Complex Variables

Access URL: http://arxiv.org/abs/2506.10681

Sobolev regularity for the $\bar{\partial}$--Neumann operator and transverse vector fields

Authors: Wang, Qianyun, Yuan, Yuan, Zhang, Xu

Subject Terms: Mathematics - Complex Variables

Access URL: http://arxiv.org/abs/2506.10372

Homeomorphic Sobolev extensions and integrability of hyperbolic metric

Authors: Zhou, Xilin

Subject Terms: Mathematics - Complex Variables, 46E35, 30C62, 58E20

Access URL: http://arxiv.org/abs/2506.10216

Definitions of the volume of a big cohomology class

Authors: Cartwright, Tiernan

Subject Terms: Mathematics - Complex Variables, Mathematics - Algebraic Geometry, 32J27 (Primary) 32J25 (Secondary)

Access URL: http://arxiv.org/abs/2506.09486

A collection of results relating the geometry of plane domains and the exit time of planar Brownian motion, II

Authors: Markowsky, Greg, McDonald, Clayton

Subject Terms: Mathematics - Probability, Mathematics - Complex Variables

Access URL: http://arxiv.org/abs/2506.09364

Generalizations of Enestrom-Kakeya Type Theorems for matrix Polynomials

Authors: Qasim, Idrees

Subject Terms: Mathematics - Classical Analysis and ODEs, Mathematics - Complex Variables

Access URL: http://arxiv.org/abs/2506.09112

Generalization of Cauchy type theorems for matrix Polynomials

Authors: Qasim, Idrees

Subject Terms: Mathematics - Complex Variables

Access URL: http://arxiv.org/abs/2506.09013

Multiversion of the Hausdorff--Young inequality

Authors: Ivanisvili, Paata, Kalantzopoulos, Pavlos

Subject Terms: Mathematics - Functional Analysis, Mathematics - Classical Analysis and ODEs, Mathematics - Complex Variables, Mathematics - Probability, 42B20, 42B35, 47A30, 42A38

Access URL: http://arxiv.org/abs/2506.08494

Monogenic functions over real alternative *-algebras: the several hypercomplex variables case

Authors: Xu, Zhenghua, Ding, Chao, Wang, Haiyan

Subject Terms: Mathematics - Complex Variables, Primary: 30G35, Secondary: 17D05, 32A26, 47G10

Access URL: http://arxiv.org/abs/2506.08307

Modular resurgence, $q$-Pochhammer symbols, and quantum operators from mirror curves

Authors: Fantini, Veronica, Rella, Claudia

Subject Terms: High Energy Physics - Theory, Mathematical Physics, Mathematics - Algebraic Geometry, Mathematics - Complex Variables, Mathematics - Number Theory

Access URL: http://arxiv.org/abs/2506.08265

Scattering theory on Riemann surfaces II: The scattering matrix and generalized period mappings

Authors: Schippers, Eric, Staubach, Wolfgang

Subject Terms: Mathematics - Differential Geometry, Mathematics - Algebraic Geometry, Mathematics - Complex Variables, 53C56, 51M15, 30F15, 30F30

Access URL: http://arxiv.org/abs/2506.08166

Scattering theory on Riemann surfaces I: Schiffer operators, cohomology, and index theorems

Authors: Schippers, Eric, Staubach, Wolfgang

Subject Terms: Mathematics - Differential Geometry, Mathematics - Algebraic Geometry, Mathematics - Complex Variables, 53C56, 51M15, 30F15, 30F30

Access URL: http://arxiv.org/abs/2506.08160

Irregular traces of multiple SLE(0) systems with multiple marked points

Authors: Zhang, Jiaxin

Subject Terms: Mathematics - Probability, Mathematical Physics, Mathematics - Complex Variables, Mathematics - Dynamical Systems

Access URL: http://arxiv.org/abs/2506.07513

Degenerate complex Monge-Amp\`ere type equations on compact Hermitian manifolds and applications II

Authors: Sun, Haoyuan, Wang, Zhiwei

Subject Terms: Mathematics - Complex Variables

Access URL: http://arxiv.org/abs/2506.07336

A critical majorant for the Khinchin-Ostrowski property

Authors: Malman, Bartosz

Subject Terms: Mathematics - Complex Variables, Mathematics - Classical Analysis and ODEs

Access URL: http://arxiv.org/abs/2506.06911

Thermodynamic Formalism for a Class of Hyperbolic Transcendental Meromorphic Functions

Authors: Naderiyan, Hamid

Subject Terms: Mathematics - Dynamical Systems, Mathematics - Complex Variables, 37, 30

Access URL: http://arxiv.org/abs/2506.06760

Optimal bounds for the Kobayashi distance near $\mathcal C^2$-smooth boundary points

Authors: Nikolov, Nikolai, Thomas, Pascal J.

Subject Terms: Mathematics - Complex Variables, 32F45

Access URL: http://arxiv.org/abs/2506.06507

Characterizations for arbitrary B\'ekoll\'e-Bonami weights

Authors: Mudarra, Carlos, Perfekt, Karl-Mikael

Subject Terms: Mathematics - Classical Analysis and ODEs, Mathematics - Complex Variables, Mathematics - Functional Analysis, 46E30, 42B25

Access URL: http://arxiv.org/abs/2506.05993

Relative Riemann-Hilbert and Newlander-Nirenberg Theorems for torsion-free analytic sheaves on maximal and homogeneous spaces

Authors: Kurbach, Thomas

Subject Terms: Mathematics - Complex Variables

Access URL: http://arxiv.org/abs/2506.05841

Orthogonality of polar Legendre polynomials and approximation

Authors: Rehouma, Abdelhamid

Subject Terms: Mathematics - Complex Variables

Access URL: http://arxiv.org/abs/2506.04918