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Hardy’s inequalities and integral operators on Herz-Morrey spaces
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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.
Title: Hardy’s inequalities and integral operators on Herz-Morrey spaces
Description:
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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