Sublinear operators with rough kernel generated by fractional integrals and commutators on generalized vanishing local Morrey spaces
Analysis of PDEs
2016-09-04 v2
Abstract
In this paper, we consider the norm inequalities for sublinear operators with rough kernel generated by fractional integrals and commutators on generalized local Morrey spaces and on generalized vanishing local Morrey spaces including their weak versions under generic size conditions which are satisfied by most of the operators in harmonic analysis, respectively. As an example to the conditions of these theorems are satisfied, we can consider the Marcinkiewicz operator.
Cite
@article{arxiv.1602.07853,
title = {Sublinear operators with rough kernel generated by fractional integrals and commutators on generalized vanishing local Morrey spaces},
author = {Ferit Gurbuz},
journal= {arXiv preprint arXiv:1602.07853},
year = {2016}
}
Comments
arXiv admin note: text overlap with arXiv:1603.04088, arXiv:1604.01538, arXiv:1603.03469, arXiv:1602.07468, arXiv:1602.08096, arXiv:1602.08788; text overlap with arXiv:1212.6928, arXiv:1208.4788 by other authors