Hardy’s inequalities and integral operators on Herz-Morrey spaces
Yee Tat-Leung, Ho Kwok-Pun
Open Mathematics · 2020
doi:10.1515/math-2020-0008 (opens in a new tab)
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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.
Abstract licence: CC BY
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