Some Properties Of Function Spaces Of Besov-Type And Applications

dc.contributor.authorSalah Ben Mahmoud
dc.date.accessioned2022-03-03T08:12:14Z
dc.date.available2022-03-03T08:12:14Z
dc.date.issued2022
dc.description.abstractIn this thesis we introduce new equivalent characterizations and certain commutator estimations on Besov spaces, Besov-type spaces and Triebel-Lizorkin spaces of variable smoothness and integrability. We prove the continuous characterization of the space B ( ) p( ),q( ) and characterization via Peetre-type maximal functions of local means of variable Besov spaces B ( ) p( ),q( ) based on the continuous version of Calderón reproducing formula and and of variable Besov-type spaces B ( ), p( ),q( ). We prove certain estimates on Triebel-Lizorkin spaces of variable smoothness and integrability F ( ) p( ),q( ) for the commutator [V r, j ](f ), these estimates are obtained under no vanishing assumptions on the divergence of the vector fielden_US
dc.identifier.urihttp://dspace.univ-msila.dz:8080//xmlui/handle/123456789/28105
dc.publisherUniversité de M'silaen_US
dc.subjectBesov space, Triebel-Lizorkin space, variable exponent,Calderón reproducing formulaen_US
dc.titleSome Properties Of Function Spaces Of Besov-Type And Applicationsen_US
dc.typeThesisen_US

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