Some local Poincare inequalities for the composition of the sharp maximal operator and the Green's operator

Yi Ling; Bao Gejun

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Some local Poincare inequalities for the composition of the sharp maximal operator and the Green's operator

机译：尖的极大算子和格林算子的组合的一些局部Poincare不等式

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摘要

In this paper, we establish the local Poincare-type inequalities for the composition of the sharp maximal operator and the Green's operator with an Orlicz norm.

机译：在本文中，我们建立了带有Orlicz范数的锐化极大算子和Green算子组成的局部Poincare型不等式。

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来源
《Computers & mathematics with applications》 |2012年第3期|p.720-727|共8页
作者
Yi Ling; Bao Gejun;
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作者单位

Department of Mathematical Science, Delaware State University, Dover, DE 19901, USA;

Department of Mathematics, Harbin Institute of Technology, Harbin 150001, PR China;

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正文语种 eng
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关键词
the poincare-type inequalities; orlicz norm; the sharp maximal operator and the; green's operator;

机译：庞加莱型不平等;奥利兹规范尖锐的最大算子和格林的运营商;

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1. Global Poincaré inequalities for the composition of the sharp maximal operator and Green’s operator with Orlicz norms [J] . Bao Gejun, Yi Ling Journal of inequalities and applications . 2013,第1期

机译：尖锐的最大算子和格林的算子组成的全局庞加莱不等式与Orlicz范数
2. Sharp H p $H_{p}$ - L p $L_{p}$ type inequalities of weighted maximal operators of Vilenkin-Nörlund means and its applications [J] . Lasha Baramidze, Lars-Erik Persson, George Tephnadze, Journal of inequalities and applications . 2016,第1期

机译：Vilenkin-Nörlund均值的加权最大算子的夏普H p $ H_ {p} $-L p $ L_ {p} $类型不等式及其应用
3. Sharp weighted inequalities for multilinear fractional maximal operators and fractional integrals [J] . Li Kangwei, Moen Kabe, Sun Wenchang Mathematische Nachrichten . 2015,第5a6期

机译：多线性分数最大算子和分数积分的尖锐加权不等式
4. Robust Solvers for Symmetric Positive Definite Operators and Weighted Poincare Inequalities [C] . Yalchin Efendiev, Juan Galvis, Raytcho Lazarov, International conference on large-scale scientific computing . 2012

机译：对称正定算子和加权Poincare不等式的鲁棒求解器
5. Linear and multilinear fractional operators: Weighted inequalities, sharp bounds, and other properties. [D] . Moen, Kabe. 2009

机译：线性和多线性分数运算符：加权不等式，尖锐边界和其他属性。
6. Weighted norm inequalities for Toeplitz type operators associated to generalized Calderón–Zygmund operators [O] . Yongli Tang, Tao Ban -1

机译：与广义Calderón–Zygmund算子相关的Toeplitz型算子的加权范数不等式
7. Some local Poincaré inequalities for the composition of the sharp maximal operator and the Green’s operator [O] . Ling Yi, Gejun Bao 2012

机译：锐化极大算子和格林算子的合成的一些局部庞加莱不等式

Some local Poincare inequalities for the composition of the sharp maximal operator and the Green's operator

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