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分数次积分算子在Vilenkin群Morrey空间上的有界性质 被引量:1

The Boundedness of Fractional Integral Operators on Morrey Spaces in Vilenkin Groups
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摘要 引入了Vilenkin群上弱Morrey空间的概念,得到了分数次积分算子在Vilenkin群Morrey空间上的有界性质,特别地,我们给出了在端点处的弱型估计. The weak Morrey spaces is introduced, and provides the boundary proof of fractional integral operators on Morrey spaces in Vilenkin groups. In particular, weak-type estimating is given at the endpoint.
出处 《数学的实践与认识》 CSCD 北大核心 2005年第8期220-223,共4页 Mathematics in Practice and Theory
关键词 分数次积分算子 VILENKIN群 MORREY空间 有界性质 弱型估计 vilenkin group fractional integral morrey space
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  • 1Morrey Jr C B. On the solutions of quasi-linear elliptic patial differential equations[J]. Trans Amer Math Soc,1938, 43(1): 126-166.
  • 2Fazio Di G, Ragusa M A. Interior estimate in Morrey spaces for strong solutions to nondivergence equations with discontinous coefficients[J]. J Funct Anal, 1993, 112(2): 141-25
  • 3Fazio Di G, Palagachev D K, Ragusa M A. Global Morrey regularrity of strong solutions to the Dirichelet problem for elliptic equations with discontinuous coefficients[J]. J Funct Anal, 1999, 166: 179-196.
  • 4WANGYue-shan,ZHUXiu-ge.Boundedness of Operators in Morrey Spaces over Vilenkin Groups[J].Chinese Quarterly Journal of Mathematics,2003,18(3):315-319. 被引量:2
  • 5Rudin W. Fourier analysis on group[M]. lnterscience Press, 1967. 35-57.

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