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On singular operators in vanishing generalized variable-exponent Morrey spaces and applications to Bergman-type spaces
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Orientador(es)
Resumo(s)
We give a proof of the boundedness of the Bergman projection in generalized variable-exponent vanishing Morrey spaces over the unit disc and the upper half-plane. To this end, we prove the boundedness of the Calderon-Zygmund operators on generalized variable-exponent vanishing Morrey spaces. We give the proof of the latter in the general context of real functions on R-n, since it is new in such a setting and is of independent interest. We also study the approximation by mollified dilations and estimate the growth of functions near the boundary.
Descrição
Palavras-chave
Boundedness Lebesgue Singular operator Morrey space Bergman-type space Calderon-Zygmund operator
Contexto Educativo
Citação
Editora
Maik Nauka/Interperiodica/Springer