Boundedness of the Bergman projection on generalized Fock-Sobolev spaces on $C^{\wedge} n$

Cascante, Ma. Carme (Maria Carme)Fàbrega Casamitjana, JoanPascuas Tijero, Daniel2023-02-082023-02-0820201661-8254https://hdl.handle.net/2445/193290In this paper we solve a problem posed by H. Bommier-Hato, M. Engli and E.H. Youssfi in [4] on the boundedness of the Bergmantype projections in generalized Fock spaces. It will be a consequence of two facts: a full description of the embeddings between generalized FockSobolev spaces and a complete characterization of the boundedness of the above Bergman type projections between weighted $L^p$-spaces related to generalized Fock-Sobolev spaces.application/pdfeng(c) Birkhäuser Basel, 2020Espais analíticsFuncions holomorfesAnàlisi funcionalTeoria d'operadorsAnalytic spacesHolomorphic functionsFunctional analysisOperator theoryBoundedness of the Bergman projection on generalized Fock-Sobolev spaces on $C^{\wedge} n$info:eu-repo/semantics/article6993872023-02-08info:eu-repo/semantics/openAccess