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On the invariance of certain vanishing subspaces of Morrey spaces with respect to some classical operators
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Orientador(es)
Resumo(s)
We consider subspaces of Morrey spaces defined in terms of various vanishing properties of functions. Such subspaces were recently used to describe the closure of C-0(infinity) (R-n) in Morrey norm. We show that these subspaces are invariant with respect to some classical operators of harmonic analysis, such as the Hardy-Littlewood maximal operator, singular type operators and Hardy operators. We also show that the vanishing properties defining those subspaces are preserved under the action of Riesz potential operators and fractional maximal operators.
Descrição
Palavras-chave
Morrey spaces Vanishing properties Maximal functions Potential operators Singular operators Hardy operators
Contexto Educativo
Citação
Editora
Springer