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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/193240
Littlewood-Paley formulas and Carleson measures for weighted Fock spaces induced by A^\infty-type weights.
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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 $\mathcal{F}^{q,n}_{\beta,\om}$.
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CASCANTE, Ma. Carme (Maria Carme), FÀBREGA CASAMITJANA, Joan and PELÁEZ MÁRQUEZ, José Ángel. Littlewood-Paley formulas and Carleson measures for weighted Fock spaces induced by A^\infty-type weights. Potential Analysis. 2019. Vol. 50, num. 221-244. ISSN 0926-2601. [consulted: 19 of August of 2026]. Available at: https://hdl.handle.net/2445/193240