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Boundeness of Generalized Maximal Operaters on Homogeneous Spaces
Weijie Hou 1 * #, Liu Mingju 2
1.Beijing University of Aeronautics and Astronautics
2.Beijing University of Aeronautics and Astronautics
*Correspondence author
#Submitted by
Subject:
Funding: 国家自然科学基金（No.10726008）
Opened online:25 November 2008
Accepted by: none
Citation: Weijie Hou , Liu Mingju .Boundeness of Generalized Maximal Operaters on Homogeneous Spaces[OL]. [25 November 2008] http://en.paper.edu.cn/en_releasepaper/content/26015
 
 
Maximal functions play a very important role in harmonic analysis. 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 partial differential equations. As homogeneous spaces may be considered as an extension of R^n spaces, it is natural and important to study the boundeness for operaters in Morrey spaces on homogeneous spaces. In this paper, the authors introduce a type of topological structure in the Cartesian product and a set function mapping the balls on homogeneous spaces into the sets in the Cartesian product , and obtain boundeness of generalized operators in Morrey spaces 。Some results have been obtained and the result in this paper improve and extend the known results.
Keywords:Maximal operator;Young function;Homogeneous spaces ; Boundeness
 
 
 

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