Please use this identifier to cite or link to this item:
http://hdl.handle.net/2445/193240
Title: | Littlewood-Paley formulas and Carleson measures for weighted Fock spaces induced by A^\infty-type weights. |
Author: | Cascante, Ma. Carme (Maria Carme) Fàbrega Casamitjana, Joan Peláez Márquez, José Ángel |
Keywords: | Funcions de variables complexes Espais analítics Anàlisi harmònica Anàlisi funcional Functions of complex variables Analytic spaces Harmonic analysis Functional analysis |
Issue Date: | 15-Feb-2019 |
Publisher: | Springer Verlag |
Abstract: | We obtain Littlewood-Paley formulas for Fock spaces $\mathcal{F}^q_{\beta,\omega}$ induced by weights $\omega\in\Ainfty= \cup_{1\le p<\infty}A^{restricted}_{p}$, where $A^{restricted}_{p}$ is the class of weights such that the Bergman projection $P_\alpha$, on the classical Fock space $\mathcal{F}^2_{\alpha}$, is bounded on $$\mathcal{L}^p_{\alpha,\om}:=\left\{f:\, \int_{\C}|f(z)|^pe^{-p\frac{\a}{2}|z|^2}\,\om(z)dA(z)<\infty \right\}. $$ Using these equivalent norms for $\mathcal{F}^q_{\beta,\omega}$ we characterize the Carleson measures for weighted Fock-Sobolev spaces $\mathcal{F}^{q,n}_{\beta,\om}$. |
Note: | Versió postprint del document publicat a: https://doi.org/10.1007/s11118-018-9680-z |
It is part of: | Potential Analysis, 2019, vol. 50, p. 221-244 |
URI: | http://hdl.handle.net/2445/193240 |
Related resource: | https://doi.org/10.1007/s11118-018-9680-z |
ISSN: | 0926-2601 |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
688424.pdf | 446.27 kB | Adobe PDF | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.