Weighted L~p-boundedness of convolution type integral operators associated with bilinear estimates in the Sobolev spaces

Kazumasa Fujiwara; Tohru Ozawa

首页> 外文期刊>Journal of the Mathematical Society of Japan >Weighted L~p-boundedness of convolution type integral operators associated with bilinear estimates in the Sobolev spaces

【24h】

Weighted L~p-boundedness of convolution type integral operators associated with bilinear estimates in the Sobolev spaces

机译：Sobolev空间中与双线性估计相关的卷积型积分算子的加权L〜p有界

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

We study the boundedness of integral operators of convolution type in the Lebesgue spaces with weights. As a byproduct, we give a simple proof of the fact that the standard Sobolev space H~s(R~n) forms an algebra for s ＞ n/2. Moreover, an optimality criterion is presented in the framework of weighted L~p-boundedness.

机译：我们研究带权的Lebesgue空间中卷积型积分算子的有界性。作为副产品，我们简单证明标准Sobolev空间H〜s（R〜n）构成s＞ n / 2的代数。此外，在加权L〜p有界性的框架内提出了最优准则。

著录项

来源
《Journal of the Mathematical Society of Japan》 |2016年第1期|169-191|共23页
作者
Kazumasa Fujiwara; Tohru Ozawa;
展开▼
作者单位

Department of Pure and Applied Physics Waseda University Tokyo 169-8555, Japan;

Department of Applied Physics Waseda University Tokyo 169-8555, Japan;

展开▼
收录信息美国《科学引文索引》(SCI);
原文格式 PDF
正文语种 eng
中图分类
关键词
pointwise multiplication; Sobolev spaces;

机译：点乘Sobolev空间;

相似文献

外文文献
中文文献
专利

1. Weighted estimates for bilinear fractional integral operator of iterated product commutators on Morrey spaces [J] . Xiang Li, Qianjun He, Dunyan Yan Journal of Mathematical Inequalities . 2020,第4期

机译：莫雷空间迭代产品换向器的双线性分数算子的加权估计
2. Boundedness of integral operators from weighted Sobolev space to weighted Lebesgue space [J] . Oinarov R. Complex variables and elliptic equations . 2011,第10a11期

机译：积分算子从加权Sobolev空间到加权Lebesgue空间的有界性
3. Boundedness of integral operators from weighted Sobolev space to weighted Lebesgue space [J] . R. Oinarov Complex Variables and Elliptic Equations: An International Journal . 2011,第10a11期

机译：从加权Sobolev空间到加权Lebesgue空间的积分算子的有界性
4. WEIGHTED SOBOLEV SPACES AND QUASIELLIPTIC OPERATORS IN R~N [C] . Gennadii V. Demidenko International ISAAC Congress . 2003

机译：R〜N中加权SoboLev空间和Quasiellic运算符
5. L(p) estimates of singular integral operators of convolution type with rough kernels. [D] . Al-salman, Ahmad Juma. 1999

机译：具有粗糙核的卷积型奇异积分算子的L（p）估计。
6. Weighted inequalities for fractional integral operators and linear commutators in the Morrey-type spaces [O] . Hua Wang -1

机译：Morrey型空间中分数阶积分算子和线性交换子的加权不等式
7. Weighted $L^p$-boundedness of convolution type integral operators associated with bilinear estimates in the Sobolev spaces [O] . Kazumasa FUJIWARA, Tohru OZAWA 2016

机译：加权$ l ^ $ - 卷积型积分运算符与索波夫空间中的双线性估计相关的卷积类型积分运算符

Weighted L~p-boundedness of convolution type integral operators associated with bilinear estimates in the Sobolev spaces

摘要

著录项

相似文献

相关主题

期刊订阅