Sharp Norm Estimates for Weighted Bergman Projections in the Mixed Norm Spaces


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Abstract

In this paper, we show that the norm of the Bergman projection on Lp,q-spaces in the upper half-plane is comparable to csc(π/q). Then we extend this result to a more general class of domains, known as the homogeneous Siegel domains of type II.

About the authors

J. Gonessa

Université de Bangui

Author for correspondence.
Email: gonessa.jocelyn@gmail.com
Central African Republic, Bangui

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