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Weighted Boundedness of Sublinear Operators in Morrey Spaces.
Hou Weijie * #,Liu Mingju
Department of Mathematics, Beihang University
*Correspondence author
#Submitted by
Subject:
Funding: 国家自然科学基金（No.10726008）
Opened online: 4 December 2008
Accepted by: none
Citation: Hou Weijie,Liu Mingju.Weighted Boundedness of Sublinear Operators in Morrey Spaces.[OL]. [ 4 December 2008] http://en.paper.edu.cn/en_releasepaper/content/26315
 
 
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 a very import role in studying the regularity of solutions to second order elliptic partial differential equations.As Morrey spaces may be considered as an extension of Lebesgue spaces, it is natural and important to study the weighted boundedness for operaters in Morrey spaces. Much work in this direction has been done.The studying of sublinear operators is very active these years, in this paper, the authors introduce a type of topological structure in the Cartesian product and a set function, and in advance discuss weighted boundedness of sublinear operators in Morrey spaces. The result improve and extend the known results.
Keywords:Sublinear operator;Morrey spaces;weight function
 
 
 

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