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arXiv · 1803.03069

Fractional maximal function and its commutators on Orlicz spaces

Vagif S. Guliyev·Fatih Deringoz·Sabir G. Hasanov
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Abstract

In this paper, we find necessary and sufficient conditions for the boundedness of fractional maximal operator $M_{\alpha}$ on Orlicz spaces. As an application of this results we consider the boundedness of fractional maximal commutator $M_{b,\alpha}$ and nonlinear commutator of fractional maximal operator $[b,M_{\alpha}]$ on Orlicz spaces, when $b$ belongs to the Lipschitz space, by which some new characterizations of the Lipschitz spaces are given.

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Vagif S. Guliyev, Fatih Deringoz, Sabir G. Hasanov. 2018-03-08. Fractional maximal function and its commutators on Orlicz spaces. https://arxiv.org/abs/1803.03069

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