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Boundedness of Intrinsic Square Functions and their Commutators on Generalized Orlicz-Morrey Spaces

Functional Analysis 2013-11-27 v2

Abstract

We study the boundedness of intrinsic square functions and their commutators on generalized Orlicz-Morrey spaces MΦ,φ(Rn)M^{\Phi,\varphi}(\mathbb{R}^n). In all the cases the conditions for the boundedness are given either in terms of Zygmund-type integral inequalities on weights φ(x,r)\varphi(x,r) without assuming any monotonicity property of φ(x,r)\varphi(x,r) on rr.

Keywords

Cite

@article{arxiv.1311.6122,
  title  = {Boundedness of Intrinsic Square Functions and their Commutators on Generalized Orlicz-Morrey Spaces},
  author = {Vagif S. Guliyev and Fatih Deringoz},
  journal= {arXiv preprint arXiv:1311.6122},
  year   = {2013}
}

Comments

22. arXiv admin note: substantial text overlap with arXiv:1310.6604