Boundedness of Maximal and Singular Operatorsin Morrey Spaces with Variable Exponent

Author(s)

Boundedness of Maximal and Singular Operatorsin Morrey Spaces with Variable Exponent Vakhtang Kokilashvili

In this paper the boundedness of Hardy-Littlewood maximal andsingular operators in variable exponent Morrey spacesMp(·)q(·)(X) defined on spacesof homogeneous type is established provided thatpandqsatisfy Dini-Lipschitz(log-H ̈older continuity) condition.

DOI: https://armjmath.sci.am/index.php/ajm/article/view/8 Armenian Journal of Mathematics, 1(1) 18-28

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Keywords

Maximal functions, singular integrals, spaces of homogeneous type,Morrey spaces, function spaces with variable exponent, boundedness of operators.

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