Maximal function and Riesz potential on p-adic linear spaces

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• 作者：S. S. Volosivets (1)
  
• 关键词：Riesz potential ; p ; adic Morrey space ; maximal function ; Lq Lebesgue point
• 刊名：P-Adic Numbers, Ultrametric Analysis, and Applications
• 出版年：2013
• 出版时间：July 2013
• 年：2013
• 卷：5
• 期：3
• 页码：226-234
• 全文大小：563KB
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• 作者单位：S. S. Volosivets (1)
  
  1. Faculty of Mechanics and Mathematics, Saratov State University, Astrakhanskaya Str. 83, 410012, Saratov, Russia
  

文摘

For maximal function and Riesz potential on p-adic linear space ?span class="a-plus-plus stack"> p n we give sufficient conditions of its boundedness in generalized Morrey spaces. For radial weights of special kind this condition for Riesz potential is sharp. Also we prove that if Riesz potential I α(f) exists at point b, then b is L q Lebesgue point for some q.