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Variable Herz–Morrey estimates for rough fractional Hausdorff operator

Amjad Hussain, Ilyas Khan, Abdullah Mohamed

2024Journal of Inequalities and Applications10 citationsDOIOpen Access PDF

Abstract

Abstract As a first attempt, we obtain the boundedness of the rough fractional Hausdorff operator on variable exponent Herz-type spaces. The method used in this paper enables us to study the operator on some other function spaces with variable exponents.

Topics & Concepts

MathematicsOperator (biology)Variable (mathematics)Hausdorff spaceMathematical analysisPure mathematicsGeneTranscription factorChemistryRepressorBiochemistryAdvanced Harmonic Analysis ResearchNonlinear Partial Differential EquationsAdvanced Mathematical Modeling in Engineering