SUBLINEAR OPERATORS WITH ROUGH KERNEL GENERATED BY FRACTIONAL INTEGRALS AND COMMUTATORS ON GENERALIZED VANISHING LOCAL MORREY SPACES

In this work, we consider the norm inequalities for sublinear operators with rough kernel generated by fractional integrals and commutators on generalized vanishing local Morrey spaces including their weak versions under generic size conditions which are satisfied by most of the operators in harmoni...

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Bibliographic Details
Published inTWMS journal of applied and engineering mathematics Vol. 10; no. 1; p. 73
Main Author Gurbuz, Ferit
Format Journal Article
LanguageEnglish
Published Turkic World Mathematical Society 01.01.2020
Subjects
Inequalities (Mathematics)
Kernel functions
Mathematical research
Topological spaces
Turkey
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Summary:In this work, we consider the norm inequalities for sublinear operators with rough kernel generated by fractional integrals and commutators on generalized vanishing local Morrey spaces including their weak versions under generic size conditions which are satisfied by most of the operators in harmonic analysis, respectively. Keywords: Sublinear operator, Fractional integral operator, Rough kernel, Generalized vanishing local Morrey space, Commutator, Local Campanato space. AMS Subject Classification: 42B20, 42B25, 42B35.
ISSN:2146-1147