Boundedness of the Bergman projection on generalized Fock-Sobolev spaces on \mathbb Cⁿ

2017/12/14 by Cascante, Carme, Fàbrega, Joan, Pascuas, Daniel
#30H20 #32A37 #33E12 #46E15 #Classical Analysis and ODEs (math.CA) #Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1712.05257

Abstract

In this paper we solve a problem posed by H. Bommier-Hato, M. Engliš and E.H. Youssfi in [3] on the boundedness of the Bergman-type projections in generalized Fock spaces. It will be a consequence of two facts: a full description of the embeddings between generalized Fock-Sobolev 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.

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