首页|Partial Derivatives,Singular Integrals and Sobolev Spaces in Dyadic Settings
Partial Derivatives,Singular Integrals and Sobolev Spaces in Dyadic Settings
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In this note we show that the general theory of vector valued singular inte-gral operators of Calderón-Zygthmund defined on general metric measure spaces,can be applied to obtain Sobolev type regularity properties for solutions of the dyadic frac-tional Laplacian.In doing so,we define parhal derivatives in terms of Haar multipliers and dyadic homogeneous singular integral operators.
Sobolev regularityHaar basisspace of homogeneous typeCalderón-Zygmund operatordyadic analysis
Hugo Aimar、Juan Comesatti、Ivana Gómez、Luis Nowak
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Instituto de Matemática Aplicada del Litoral"Dra.Eleonor Harboure",UNL,CONICET,CCT CONICET Santa Fe,Predio"Dr.Alberto Cassano",Colectora Ruta Nac.168 km 0,Paraje El Pozo,S3007ABA Santa Fe,Argentina
Instituto de Investigación en Tecnologías y Ciencias de la Ingeniería Universidad Nacional del Comahue,CONICET
Departamento de Matemática-FaEA-UNComa,Neuquén,Argentina
MINCYT in ArgentinaCONICET and ANPCyTUNL and UNComa
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