English

Multi-sublinear operators generated by multilinear fractional integral operators and commutators on the product generalized local Morrey spaces

Analysis of PDEs 2016-11-11 v5

Abstract

The aim of this paper is to get the boundedness of certain multi-sublinear operators generated by multilinear fractional integral operators on the product generalized local Morrey spaces under generic size conditions which are satisfied by most of the operators in harmonic analysis. We also prove that the commutators of multilinear operators generated by local campanato functions and multilinear fractional integral operators are also bounded on the product generalized local Morrey spaces.

Keywords

Cite

@article{arxiv.1602.07468,
  title  = {Multi-sublinear operators generated by multilinear fractional integral operators and commutators on the product generalized local Morrey spaces},
  author = {Ferit Gurbuz},
  journal= {arXiv preprint arXiv:1602.07468},
  year   = {2016}
}

Comments

arXiv admin note: substantial text overlap with arXiv:1603.04088; text overlap with arXiv:1212.6928 by other authors