Name: | Description: | Size: | Format: | |
---|---|---|---|---|
406.82 KB | Adobe PDF |
Authors
Advisor(s)
Abstract(s)
The aim of the paper is twofold. First, we present a new general approach to the definition of a class of mixed norm spaces of analytic functions A(q;X)(D), 1 <= q < infinity on the unit disc D. We study a problem of boundedness of Bergman projection in this general setting. Second, we apply this general approach for the new concrete cases when X is either Orlicz space or generalized Morrey space, or generalized complementary Morrey space. In general, such introduced spaces are the spaces of functions which are in a sense the generalized Hadamard type derivatives of analytic functions having l(q) summable Taylor coefficients.
Description
Keywords
Bergman projections Unit Disc Operators Inequalities Boundedness Duality
Citation
Publisher
Walter De Gruyter Gmbh