Boundedness of fractional integral operators on Morrey spaces and Sobolev embeddings for generalized Riesz potentials

Yoshihiro Mizuta; Eiichi Nakai; Takao Ohno; Tetsu Shimomura

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Boundedness of fractional integral operators on Morrey spaces and Sobolev embeddings for generalized Riesz potentials

机译：分数里积分算子在Morrey空间和Sobolev嵌入上对广义Riesz势的有界性

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摘要

Our aim in this paper is to deal with boundedness of fractional integral operators on Morrey spaces L~(1,σ)'(G) and the Sobolev em-beddings for generalized Riesz potentials. Target spaces are Orlicz-Morrey, Orlicz-Campanato, and generalized Holder spaces.

机译：本文的目的是要处理分数阶积分算子在Morrey空间L〜（1，σ）'（G）和Sobolev嵌入上的广义Riesz势的有界性。目标空间是Orlicz-Morrey，Orlicz-Campanato和广义Holder空间。

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来源
《Journal of the Mathematical Society of Japan》 |2010年第3期|P.707-744|共38页
作者
Yoshihiro Mizuta; Eiichi Nakai; Takao Ohno; Tetsu Shimomura;
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作者单位

Department of Mathematics Graduate School of Science Hiroshima University Higashi-Hiroshima 739-8521, Japan;

rnDepartment of Mathematics Osaka Kyoiku University Kashiwara, Osaka 582-8582, Japan;

General Arts Hiroshima National College of Maritime Technology Higashino Oosakikamijima Toyotagun 725-0231, Japan;

rnFaculty of Education and Welfare Science Oita University Dannoharu Oita-city 870-1192, Japan;

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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
sobolev embeddings; morrey space; orlicz space; riesz potential; fractional integral;

机译：sobolev嵌入;莫里空间;奥利兹空间;里斯兹势分数积分;

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1. Boundedness of the Generalized Fractional Integral Operators on Generalized Morrey Spaces over Metric Measure Spaces [J] . Sawano Yoshihiro, Shimomura Tetsu Zeitschrift fur Analysis und ihre Anwendungen . 2017,第2期

机译：公制测量空间上广义Morrey空间上广义分数积分运算符的界限
2. Sobolev Embeddings for Generalized Riesz Potentials of Functions in Morrey SpacesL(1,φ)(G)over Nondoubling Measure Spaces [J] . YoshihiroSawano, TetsuShimomura Journal of Function Spaces and Applications . 2013,第4期

机译：非加倍测度空间上Morrey空间L（1，φ）（G）中函数的广义Riesz势的Sobolev嵌入
3. A characterization for the Adams type boundedness of sublinear operators with rough kernel generated by fractional integrals and their commutators on generalized Morrey spaces [J] . Ferit Gurbuz, Gazi Guzel International Journal of Applied Mathematics & Statistics . 2018,第2期

机译：具有粗糙内核的Sublinear算子的adams型界限的表征，并且在广义莫雷空间上产生了粗糙的内核
4. Boundedness of Fractional Integral Operator with Rough Kernel on Generalized Morrey Space [C] . Daniel Salim, Wono Setya Budhi, Yudi Soeharyadi International Conference and Workshop on Mathematical Analysis and its Applications . 2017

机译：粗糙内核对广义Morrey空间的分数积分算子的界限
5. Boundedness of integral operators in the upper-half space with Carleson measures. [D] . Saiti, Naim I. 1997

机译：用Carleson测度在上半空间中积分算子的有界性。
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. Sobolev Embeddings for Generalized Riesz Potentials of Functions in Morrey Spaces over Nondoubling Measure Spaces [O] . Yoshihiro Sawano, Tetsu Shimomura 2013

机译：SoboLev在Nondoubly测量空间上覆盖Morrey空间中的函数的广义RIESZ潜力

Boundedness of fractional integral operators on Morrey spaces and Sobolev embeddings for generalized Riesz potentials

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