Potential-type operators in <i>Lp</i>(<i>x</i>) spaces

作     者：Edmunds, DE Meskhi, A 

作者机构：Univ Sussex Ctr Math Anal & Appl Brighton BN1 9QH E Sussex England Georgian Acad Sci A Razmadze Math Inst GE-380093 Tbilisi Georgia 

出 版 物：《ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN》 (Z. Anal. Anwend.)

年 卷 期：2002年第21卷第3期

页      面：681-690页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Lebesgue spaces with variable exponent Riemann-Liouville and Weyl operators Riesz potentials 

摘      要：In this paper we derive weight inequalities for one-sided and Riesz potentials in L-p(x) spaces under the condition that p satisfies a weak Lipschitz condition. Compactness of these operators in L-p(x) spaces is also established.