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Título:
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Averaging and orthogonal operators on variable exponent spaces L-p(.) (Omega)
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Autores:
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Hernández, Francisco L. ;
Ruiz Bermejo, César
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Tipo de documento:
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texto impreso
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Editorial:
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Elsevier, 2014-05
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/restrictedAccess
info:eu-repo/semantics/restrictedAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Análisis matemático
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Tipo = Artículo
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Resumen:
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Given a measurable space (Omega, mu) and a sequence of disjoint measurable subsets A = (A(n))(n), the associated averaging projection P-A and the orthogonal projection T-A are considered. We study the boundedness of these operators on variable exponent spaces L-P(.) (Omega). These operators are unbounded in general. Sufficient conditions on the sequence A in order to achieve that P-A or T-A be bounded are given. Conditions which provide the boundedness of P-A imply that T-A is also bounded. The converse is not true. Some applications are given. In particular, we obtain a sufficient condition for the boundedness of the Hardy-Littlewood maximal operator on spaces L-P(.) (Omega).
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En línea:
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https://eprints.ucm.es/id/eprint/24702/1/Hern%C3%A1ndez200.pdf
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