ON THE M-FOLD PRODUCT OF FRACTIONAL OPERATORS

ON THE M-FOLD PRODUCT OF FRACTIONAL OPERATORS

Ö. Kulak

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Abstract

In this work, using the m-fold product of fractional integral and maximal operators, we prove that the boundedness of these fractional operators and their cor- responding multilinear fractional operators under some conditions on weighted variable exponent Lorentz spaces.

Keywords

Multilinear fractional maximal operator, multilinear fractional integral oper- ator, weighted variable exponent Lorentz spaces.