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Hardy-little wood-type theorem for mixed fractional integrals in weighted holder spaces

Abstract

We study mixed Riemann-Liouville fractional integration operators and mixed fractional derivative in Marchaud form of function of two variables in Holder spaces of different orders in each variables. The obtained are results generalized to the case of Holder spaces with power weight.

Advanced Harmonic Analysis ResearchDifferential Equations and Boundary ProblemsAdvanced Mathematical Physics ProblemsMathematicsHölder conditionFractional calculusType (biology)Pure mathematicsMathematical analysisOperator theory
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Hardy-little wood-type theorem for mixed fractional integrals in weighted holder spaces · Scinovex