Author:
Karapetyants Alexey N.,Samko Stefan G.
Abstract
Abstract
Following the ideas of our previous research, in this paper we continue the study of new Bergman-type spaces on the unit disc with mixed norm in terms of Fourier coefficients. Here we deal with the case where the sequence of norms of Fourier coefficients in the Orlicz–Morrey space in radial variable belongs to
{l^{q}}
. We study the boundedness of the Bergman projection and provide a description of functions in these spaces via the behavior of their Taylor coefficients.
Funder
Russian Foundation for Basic Research
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