由Calderón-Zygmund算子及其交换子生成的具粗糙核的某些次线性算子在广义加权Morrey空间上的有界性
泛函分析
2016-07-01 v3
摘要
本文旨在一般尺寸条件下获得由Calderón-Zygmund算子生成的具有粗糙核的某些次线性算子在广义加权Morrey空间上的有界性，这些条件被调和分析中大多数算子所满足。我们还证明了由BMO函数与某些具有粗糙核的次线性算子形成的交换子算子也在广义加权Morrey空间上有界。满足这些定理条件的Marcinkiewicz算子可作为一个例子。
引用
@article{arxiv.1604.01538,
title = {The boundedness of certain sublinear operators with rough kernel generated by Calder\'on-Zygmund operators and their commutators on generalized weighted Morrey spaces},
author = {Ferit Gurbuz},
journal= {arXiv preprint arXiv:1604.01538},
year = {2016}
}
备注
arXiv admin note: substantial text overlap with arXiv:1602.07853, arXiv:1603.06739, arXiv:1603.04088, arXiv:1603.03469, arXiv:1602.08096; text overlap with arXiv:1212.6928 by other authors