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oai:riuma.uma.es:10630/376302026-02-03T11:03:46Zcom_10630_2254col_10630_37953

Littlewood-Paley Formulas and Carleson Measures forWeighted Fock Spaces Induced by A∞-Type Weights Cascante, Carme Fàbrega, Joan Peláez-Márquez, José Ángel Littlewood-Paley, Teoría de https://openpolicyfinder.jisc.ac.uk/id/publication/17444 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 $\mathcal{F}^{q,n}_{\beta,\om}$. 2025-02-03T10:59:26Z 2025-02-03T10:59:26Z 2019 journal article Potential Anal (2019) 50:221–244 https://hdl.handle.net/10630/37630 10.1007/s11118-018-9680-z eng open access