Boundedness of Sublinear Operators in Weighted Grand Morrey Spaces

V. Kokilashvili; A. Meskhi; H. Rafeiro

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Boundedness of Sublinear Operators in Weighted Grand Morrey Spaces

机译：加权Grand Morrey空间中次线性算子的有界性。

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AbstractThe boundedness of sublinear integral operators in grand Morrey spaces defined by means of measures generated by the Muckenhoupt weights is established. The operators under consideration involve operators of Harmonic Analysis such as Hardy–Littlewood and fractional maximal operators, Calderoń–Zygmund operators, potential operators etc.

机译：建立了 Abstract 正在考虑的算子包括Hardy–Littlewood和分数最大算子，Calderoń–Zygmund算子，潜在算子等谐波分析算子。

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来源
《Mathematical notes》 |2017年第6期|664-676|共13页
作者
V. Kokilashvili; A. Meskhi; H. Rafeiro;
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作者单位

Razmadze Mathematical Institute of Javakhishvili Tbilisi State University;

Razmadze Mathematical Institute of Javakhishvili Tbilisi State University,Georgian Technical University;

Pontificia Universidad Javeriana;

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正文语种 eng
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关键词
sublinear operators; weighted Morrey spaces; spaces of homogeneous type; weighted inequality; singular integrals; fractional integrals;

机译：亚线性算子;加权Morrey空间;齐次型空间;加权不等式;奇异积分;分数积分;

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1. Boundedness for Sublinear Operators with Rough Kernels on Weighted Grand Morrey Spaces [J] . Junmei Wang Pure and Applied Mathematics Journal . 2019,第1期

机译：加权Grand Morrey空间上具有粗糙核的次线性算子的有界性。
2. Boundedness of some sublinear operators on weighted variable Herz-Morrey spaces [J] . LIWEI WANG, LISHENG SHU Journal of Mathematical Inequalities . 2018,第1期

机译：加权变量Herz-Morrey空间上某些亚线性算子的有界性
3. Boundedness criteria for commutators of some sublinear operators in weighted Morrey spaces [J] . Xiaoli Chen The Journal of Nonlinear Sciences and its Applications . 2017,第1期

机译：加权Morrey空间中一些亚线性算子交换子的有界性判据。
4. Boundedness of Weighted Singular Integral Operators on a Carleson Curve in Grand Lebesgue Spaces [C] . Vakhtang Kokilashvili International Conference on Numerical Analysis and Applied Mathematics . 2010

机译：大烟草曲线上Carleson曲线上加权奇异积分运算符的界限
5. Weighted Composition Operators from Analytic Function Spaces into a Class of Weighted-type Banach Spaces [D] . Alyusof, Shams. 2020

机译：来自分析功能空间的加权组成算子进入一类加权型Banach空间
6. Anisotropic Hardy Spaces of Musielak-Orlicz Type with Applications to Boundedness of Sublinear Operators [O] . Baode Li, Dachun Yang, Wen Yuan -1

机译：Musielak-Orlicz型各向异性Hardy空间及其在亚线性算子有界性上的应用
7. Boundedness for Sublinear Operators with Rough Kernels on Weighted Grand Morrey Spaces [O] . Junmei Wang 2019

机译：Lublinear操作员的界限，粗糙的大莫雷空间上的粗糙核

Boundedness of Sublinear Operators in Weighted Grand Morrey Spaces

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