Hardy’s inequalities and integral operators on Herz-Morrey spaces
Tat Leung Yee, Kwok‐Pun Ho
Abstract
Abstract We obtain some estimates for the operator norms of the dilation operators on Herz-Morrey spaces. These results give us the Hardy’s inequalities and the mapping properties of the integral operators on Herz-Morrey spaces. As applications of this general result, we have the boundedness of the Hadamard fractional integrals on Herz-Morrey spaces. We also obtain the Hilbert inequality on Herz-Morrey spaces.
Topics & Concepts
MathematicsPure mathematicsDilation (metric space)Hilbert spaceInequalityOperator (biology)Hadamard transformMathematical analysisCombinatoricsBiochemistryGeneChemistryTranscription factorRepressorAdvanced Harmonic Analysis ResearchDifferential Equations and Boundary ProblemsNonlinear Differential Equations Analysis