Mixed norm spaces of analytic functions as spaces of generalized fractional derivatives of functions in hardy type spaces

Karapetyants, Alexey; Samko, Stefan

http://hdl.handle.net/10400.1/11832

Use this identifier to reference this record.

Name:	Description:	Size:	Format:
handle11832.pdf		406.82 KB	Adobe PDF	Download

Send Feedback

Authors

Karapetyants, Alexey

Samko, Stefan

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.