2026-04-13T00:10:19Zhttps://recercat.cat/oai/request

oai:recercat.cat:2445/1932402025-12-05T09:53:45Zcom_2072_1057col_2072_478917col_2072_478920

00925njm 22002777a 4500 dc Cascante, Ma. Carme (Maria Carme) author Fàbrega Casamitjana, Joan author Peláez Márquez, José Ángel author 2023-02-08T08:30:18Z 2023-02-08T08:30:18Z 2019-02-15 2023-02-08T08:30:19Z 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 $\mathcal{F}^{q,n}_{\beta,\om}$. 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.