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Boundedness of Operators in Generalized Morrey Spaces on Homogeneous Spaces
Weijie Hou * #
Department of Mathematics and system science
*Correspondence author
#Submitted by
Subject:
Funding: 国家自然科学基金（No.10726008）
Opened online: 7 September 2009
Accepted by: none
Citation: Weijie Hou.Boundedness of Operators in Generalized Morrey Spaces on Homogeneous Spaces[OL]. [ 7 September 2009] http://en.paper.edu.cn/en_releasepaper/content/34960
 
 
Maximal operators play a very important role in harmonic analysis and have many important applications. The classical Morrey spaces were introduced by Morrey to study the local behaviour of solutions to second order elliptic partial differential equations . Since then, these spaces play an important role in studying the regularity of solutions to partical differential equations. As Morrey spaces may be considered as an extension of Lebesgue spaces, it is natrural and important to study the boundedness for operators in Morrey spaces.Much work has been done.In this pape, the author establish the boundeness of generalized maximal operators in Morrey spaces on homogeneous spaces and obtain some equivaleut conditions about theboundeness of generalized maximal operators.This paper extended the known results.
Keywords: Generalized Morrey spaces;Maximal operator;Homogeneous spaces
 
 
 

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