Bergman projections on weighted Fock spaces in several complex variables

Let ϕ be a real-valued plurisubharmonic function on C n whose complex Hessian has uniformly comparable eigenvalues, and let F p ( ϕ ) be the Fock space induced by ϕ . In this paper, we conclude that the Bergman projection is bounded from the p th Lebesgue space L p ( ϕ ) to F p ( ϕ ) for 1 ≤ p ≤ ∞ ....

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Bibliographic Details

Published in:	Journal of inequalities and applications Vol. 2017; no. 1; pp. 286 - 10
Main Author:	Lv, Xiaofen
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 2017 Springer Nature B.V SpringerOpen
Subjects:	Analysis Applications of Mathematics Bergman kernel Bergman projection Complex variables Eigenvalues Mathematical analysis Mathematics Mathematics and Statistics reverse-Hölder inequality Bergman projection reverse-Hölder inequality Bergman kernel
ISSN:	1029-242X, 1025-5834, 1029-242X
Online Access:	Get full text
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