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Littlewood-Paley formulas and Carleson measures for weighted Fock spaces induced by A^\infty-type weights. Cascante, Ma. Carme (Maria Carme) Fàbrega Casamitjana, Joan Peláez Márquez, José Ángel Funcions de variables complexes Espais analítics Anàlisi harmònica Anàlisi funcional Functions of complex variables Analytic spaces Harmonic analysis Functional analysis 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 $\mathcal{F}^{q,n}_{\beta,\om}$. 2023-02-08T08:30:18Z 2023-02-08T08:30:18Z 2019-02-15 2023-02-08T08:30:19Z info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Versió postprint del document publicat a: https://doi.org/10.1007/s11118-018-9680-z Potential Analysis, 2019, vol. 50, p. 221-244 https://doi.org/10.1007/s11118-018-9680-z (c) Springer Verlag, 2019 info:eu-repo/semantics/openAccess Springer Verlag Articles publicats en revistes (Matemàtiques i Informàtica)