乘积广义局部Morrey空间上由多线性分数次积分算子生成的多次子线性算子与交换子
偏微分方程分析
2016-11-11 v5
摘要
本文旨在获得由多线性分数次积分算子生成的某些多次子线性算子在乘积广义局部Morrey空间上的有界性,这些空间满足调和分析中大多数算子满足的一般尺寸条件。我们还证明了由局部Campanato函数和多线性分数次积分算子生成的多线性算子的交换子也在乘积广义局部Morrey空间上有界。
引用
@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}
}
备注
arXiv admin note: substantial text overlap with arXiv:1603.04088; text overlap with arXiv:1212.6928 by other authors