Sánchez Pérez, EA.; Tradacete, P. (2020). p-Regularity and Weights for Operators Between L-p-Spaces. Zeitschrift für Analysis und ihre Anwendungen. 39(1):41-65. https://doi.org/10.4171/ZAA/1650
Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/176516
Title:
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p-Regularity and Weights for Operators Between L-p-Spaces
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Author:
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Sánchez Pérez, Enrique Alfonso
Tradacete, Pedro
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UPV Unit:
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Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
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Issued date:
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Abstract:
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[EN] We explore the connection between p-regular operators on Banach function spaces and weighted p-estimates. In particular, our results focus on the following problem. Given finite measure spaces mu and nu, let T be an ...[+]
[EN] We explore the connection between p-regular operators on Banach function spaces and weighted p-estimates. In particular, our results focus on the following problem. Given finite measure spaces mu and nu, let T be an operator defined from a Banach function space X(nu) and taking values on L-p(vd mu) for v in certain family of weights V subset of L-1(mu)+ we analyze the existence of a bounded family of weights W subset of L-1(nu)+ such that for every v is an element of V there is w is an element of W in such a way that T : L-p(wd nu) -> L-p (vd mu) is continuous uniformly on V. A condition for the existence of such a family is given in terms of p-regularity of the integration map associated to a certain vector measure induced by the operator T.
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Subjects:
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Banach function space
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P-regular operator
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Weighted p-estimate
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Copyrigths:
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Reserva de todos los derechos
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Source:
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Zeitschrift für Analysis und ihre Anwendungen. (issn:
0232-2064
)
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DOI:
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10.4171/ZAA/1650
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Publisher:
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European Mathematical Society Publishing House
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Publisher version:
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https://doi.org/10.4171/ZAA/1650
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Project ID:
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info:eu-repo/grantAgreement/MINECO//SEV-2015-0554/ES/INSTITUTO DE CIENCIAS MATEMATICAS/
info:eu-repo/grantAgreement/MINECO//MTM2016-77054-C2-1-P//ANÁLISIS NO LINEAL, INTEGRACIÓN VECTORIAL Y APLICACIONES EN CIENCIAS DE LA INFORMACIÓN/
info:eu-repo/grantAgreement/MINECO//MTM2016-76808-P/
info:eu-repo/grantAgreement/MINECO//MTM2016-75196-P/
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Thanks:
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E. A. Sanchez Perez gratefully acknowledges support of Spanish Ministerio de Ciencia, Innovacion y Universidades, Agencia Estatal de Investigacion and FEDER through grant MTM2016-77054-C2-1-P. P. Tradacete gratefully ...[+]
E. A. Sanchez Perez gratefully acknowledges support of Spanish Ministerio de Ciencia, Innovacion y Universidades, Agencia Estatal de Investigacion and FEDER through grant MTM2016-77054-C2-1-P. P. Tradacete gratefully acknowledges support of Spanish Ministerio de Economa, Industria y Competitividad, Agencia Estatal de Investigacion (AEI) and Fondo Europeo de Desarrollo Regional (FEDER) through grants MTM2016-76808-P (AEI/FEDER, UE), MTM2016-75196-P (AEI/FEDER, UE) and the \Severo Ochoa Programme for Centres of Excellence in R&D"(SEV-2015-0554).
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Type:
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Artículo
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