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arXiv · 1806.11367

An extension of Muchenhoupt-Wheeden theorem to generalized weighted (central) Morrey spaces

Rza Mustafayev·Abdulhamit Kucukaslan
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Abstract

In this paper we find the condition on function $\omega$ and weight $v$ which ensures the equivalency of norms of the Riesz potential and the fractional maximal function in generalized weighted Morrey spaces ${\mathcal M}_{p,\omega}({\mathbb R}^n,v)$ and generalized weighted central Morrey spaces $\dot{\mathcal M}_{p,\omega}({\mathbb R}^n,v)$, when $v$ belongs to Muckenhoupt $A_{\infty}$-class.

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Rza Mustafayev, Abdulhamit Kucukaslan. 2018-06-29. An extension of Muchenhoupt-Wheeden theorem to generalized weighted (central) Morrey spaces. https://arxiv.org/abs/1806.11367

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