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Applicable Analysis
An International Journal
Volume 91, 2012 - Issue 1
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Original Articles

Some properties of a kind of higher order singular Teodorescu operator in Rn

Yang Heju College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang, Hebei Province 050016, China; College of Science, Hebei University of Science and Technology, Shijiazhuang, Hebei Province 050018, China
,
Qiao Yuying College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang, Hebei Province 050016, ChinaCorrespondence[email protected]
&
Wang Liping College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang, Hebei Province 050016, China
Pages 1-14 | Received 20 Feb 2010, Accepted 07 Apr 2010, Published online: 18 Jul 2011
 
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Abstract

First, the boundedness and Hölder continuous for a kind of higher order singular Teodorescu operators in R n are discussed. Then the stability and error estimate of the higher order singular Teodorescu operators are given when the boundary surface of integral domain perturbs. Lastly we give an application of the higher order singular Teodorescu operators.

AMS Subject Classifications:

Acknowledgements

This work was supported by the National Natural Science Foundation of China (No. 10801043), Natural Science Foundation of Hebei Province (No. A2010000346) and foundation of Hebei University of Science and Technology (No. QD201028).

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