A note on the boundedness of Marcinkiewicz integral operator on continual Herz-Morrey spaces

Mehvish Sultan, Babar Sultan

Abstract


In this paper, the authors prove the boundedness of Marcinkiewicz
integral operator under some proper assumptions on continual Herz-Morrey spaces $HM_{\beta,\mu;(\gamma,\delta)}^{p(\cdot),q(\cdot),\alpha(\cdot)}(\mathbb{R}^n)$ with variable exponents.


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