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Mixed norm spaces of analytic functions as spaces of generalized fractional derivatives of functions in hardy type spaces
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Resumo(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.
Descrição
Palavras-chave
Bergman projections Unit Disc Operators Inequalities Boundedness Duality
Contexto Educativo
Citação
Editora
Walter De Gruyter Gmbh