Fractional maximal function and its commutators on Orlicz spaces

Vagif S. Guliyev; Fatih Deringoz; Sabir G. Hasanov

Fractional maximal function and its commutators on Orlicz spaces

Functional Analysis 2018-03-09 v1

Authors: Vagif S. Guliyev , Fatih Deringoz , Sabir G. Hasanov

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.

Keywords

maximal operators orlicz spaces calderon-zygmund operator

Cite

@article{arxiv.1803.03069,
  title  = {Fractional maximal function and its commutators on Orlicz spaces},
  author = {Vagif S. Guliyev and Fatih Deringoz and Sabir G. Hasanov},
  journal= {arXiv preprint arXiv:1803.03069},
  year   = {2018}
}

Comments

15 pages, Anal. Math. Phys.(to appear)

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