Weighted convolution inequalities for radial functions

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• 作者：Pablo L. De Nápoli ; Irene Drelichman
• 关键词：Convolution ; Young’s inequality ; Radial functions ; Riesz potentials ; Fractional integrals ; Weighted Besov spaces ; Primary 44A35 ; 42A85 ; Secondary 47G10 ; 26D15 ; 46E35
• 刊名：Annali di Matematica Pura ed Applicata
• 出版年：2015
• 出版时间：February 2015
• 年：2015
• 卷：194
• 期：1
• 页码：167-181
• 全文大小：229 KB
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• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1618-1891

文摘

We obtain convolution inequalities in Lebesgue and Lorentz spaces with power weights when the functions involved are assumed to be radially symmetric. We also present applications of these results to inequalities for Riesz potentials of radial functions in weighted Lorentz spaces and embedding theorems for radial Besov spaces with power weights.