Bergman projections on weighted Fock spaces in several complex variables

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Bergman projections on weighted Fock spaces in several complex variables

Let ϕ be a real-valued plurisubharmonic function on [Formula: see text] whose complex Hessian has uniformly comparable eigenvalues, and let [Formula: see text] be the Fock space induced by ϕ. In this paper, we conclude that the Bergman projection is bounded from the pth Lebesgue space [Formula: see text] to [Formula: see text] for [Formula: see text]. As a remark, we claim that Bergman projecti...

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ژورنال

عنوان ژورنال: Journal of Inequalities and Applications

سال: 2017

ISSN: 1029-242X

DOI: 10.1186/s13660-017-1560-3