Academic Journal
On the Carleson duality
| Τίτλος: | On the Carleson duality |
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| Συγγραφείς: | Hytönen, Tuomas, Rosén, Andreas, 1974 |
| Πηγή: | Arkiv for Matematik. 51(2):293-313 |
| Θεματικοί όροι: | non-tangential maximal function, Carleson’s inequality, dyadic model. |
| Περιγραφή: | As a tool for solving the Neumann problem for divergence form equations, Kenig and Pipher introduced the space X of functions on the half space, such that the non-tangential maximal function of their L_2-Whitney averages belongs to L_2 on the boundary. In this paper, answering questions which arose from recent studies of boundary value problems by Auscher and the second author, we find the pre-dual of X, and characterize the pointwise multipliers from X to L_2 on the half space as the well-known Carleson-type space of functions introduced by Dahlberg. We also extend these results to L_p generalizations of the space X. Our results elaborate on the well-known duality between Carleson measures and non-tangential maximal functions. |
| Σύνδεσμος πρόσβασης: | https://research.chalmers.se/publication/207376 |
| Βάση Δεδομένων: | SwePub |
| ISSN: | 18712487 00042080 |
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| DOI: | 10.1007/s11512-012-0167-7 |