2026-04-19T16:09:48Zhttps://recercat.cat/oai/requestoai:recercat.cat:2445/1932402025-12-05T09:53:45Zcom_2072_1057col_2072_478917col_2072_478920
RECERCAT
author
Cascante, Ma. Carme (Maria Carme)
author
Fàbrega Casamitjana, Joan
author
Peláez Márquez, José Ángel
2023-02-08T08:30:18Z2023-02-08T08:30:18Z2019-02-152023-02-08T08:30:19Z
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 $\mathcal{F}^{q,n}_{\beta,\om}$.
(c) Springer Verlag, 2019 info:eu-repo/semantics/openAccess
Funcions de variables complexes
Espais analítics
Anàlisi harmònica
Anàlisi funcional
Functions of complex variables
Analytic spaces
Harmonic analysis
Functional analysis
Littlewood-Paley formulas and Carleson measures for weighted Fock spaces induced by A^\infty-type weights.
info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion