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http://dx.doi.org/10.4134/JKMS.j170195

NORMAL WEIGHTED BERGMAN TYPE OPERATORS ON MIXED NORM SPACES OVER THE BALL IN ℂn  

Avetisyan, Karen L. (Faculty of Mathematics and Mechanics Yerevan State University)
Petrosyan, Albert I. (Faculty of Mathematics and Mechanics Yerevan State University)
Publication Information
Journal of the Korean Mathematical Society / v.55, no.2, 2018 , pp. 313-326 More about this Journal
Abstract
The paper studies some new ${\mathbb{C}}^n$-generalizations of Bergman type operators introduced by Shields and Williams depending on a normal pair of weight functions. We find the values of parameter ${\beta}$ for which these operators are bounded on mixed norm spaces L(p, q, ${\beta}$) over the unit ball in ${\mathbb{C}}^n$. Moreover, these operators are bounded projections as well, and the images of L(p, q, ${\beta}$) under the projections are found.
Keywords
normal weight; mixed norm space; Bergman operator;
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