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Weighted Estimates for Marcinkiewicz Integrals with Non-Doubling Measures
Received:July 13, 2010
Revised:January 15, 2011
Key Words
:
maximal singular integrals
Muckenhoupt type weights
sharp maximal operators
non-doubling measures.
Fund Project
:
Supported by the National Natural Science Foundation of China (Grant No.10861010)
Author Name
Affiliation
Songbai WANG
College of Mathematics and System Sciences
,
Xinjiang University
,
Xinjiang 830046
,
P. R. China
Yinsheng JIANG
College of Mathematics and System Sciences
,
Xinjiang University
,
Xinjiang 830046
,
P. R. China
Baode LI
College of Mathematics and System Sciences
,
Xinjiang University
,
Xinjiang 830046
,
P. R. China
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:
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:
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Abstract
:
Let $\mu$ be a nonnegative Radon measure on $R^{d}$ which satisfies the growth condition $\mu(B(x,r))\leq C_{0}r^{n}$ for all $x\in R^{d}$ and $r>0,$ where $C_0$ is a fixed constant and $0
Citation:
DOI
:
10.3770/j.issn:2095-2651.2012.02.010
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