RT Journal Article
T1 Littlewood-Paley Formulas and Carleson Measures forWeighted Fock Spaces Induced by A∞-Type Weights
A1 Cascante, Carme
A1 Fàbrega, Joan
A1 Peláez-Márquez, José Ángel
K1 Littlewood-Paley, Teoría de
AB 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 $\mathcal{F}^{q,n}_{\beta,\om}$.
YR 2019
FD 2019
LK https://hdl.handle.net/10630/37630
UL https://hdl.handle.net/10630/37630
LA eng
NO Potential Anal (2019) 50:221–244
NO https://openpolicyfinder.jisc.ac.uk/id/publication/17444
NO The research of the first two authors was supported in part by Ministerio de Econom´ıa yCompetitividad, Spain, projects MTM2014-51834-P, MTM2017-83499-P andMTM2015-69323-REDT, and Generalitat de Catalunya, project 2014SGR289. The research of the thirdauthor was supported in part by Ministerio de Econom´ıa y Competitividad, Spain, projectsMTM2014-52865-P, and MTM2015-69323-REDT; La Junta de Andaluc´ıa, project FQM210. Firstauthor supported in part by Ministerio de Economia y Competitividad, project MDM-2014-0445(“Maria de Maezto”) Programme for unit of Excellence in R&D.
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 19 ene 2026