Hardy’s inequalities and integral operators on Herz-Morrey spaces
Tat-Leung Yee, Kwok-Pun Ho
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Source: Crossref
Published: Jan 1, 2020
DOI: 10.1515/math-2020-0008
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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.
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