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

Carme Cascante; Joan Fàbrega; Daniel Pascuas

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

Complex Variables 2017-12-15 v1 Classical Analysis and ODEs Functional Analysis

Authors: Carme Cascante , Joan Fàbrega , Daniel Pascuas

Abstract

In this paper we solve a problem posed by H. Bommier-Hato, M. Engli\v{s} 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.

Keywords

bergman projection generalized fock-sobolev spaces bounded embeddings weighted l^p spaces complex analysis

Cite

@article{arxiv.1712.05257,
  title  = {Boundedness of the Bergman projection on generalized Fock-Sobolev spaces on ${\mathbb C}^n$},
  author = {Carme Cascante and Joan Fàbrega and Daniel Pascuas},
  journal= {arXiv preprint arXiv:1712.05257},
  year   = {2017}
}

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

Abstract

Keywords

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