Generalized fractional integrals in p-adic morrey and Herz spaces

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• 作者：S. S. Volosivets
• 关键词：Key wordsRiesz potential ; generalized fractional integral ; p ; adic Campanato space ; p ; adic Morrey space ; p ; adic Herz space
• 刊名：P-Adic Numbers, Ultrametric Analysis, and Applications
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：9
• 期：1
• 页码：53-61
• 全文大小：
• 刊物类别：Mathematics and Statistics
• 刊物主题：Algebra;
• 出版者：Pleiades Publishing
• ISSN：2070-0474
• 卷排序：9

文摘

For Riesz potential Iβ(f) on p-adic linear space Q_pn and its modification \(\widetilde{I^\beta }(f)\) we give sufficient conditions of their boundedness from radialMorrey space to anotherMorrey or Campanato space. Also we study the boundedness of modified Riesz potential \(\widetilde{I^\beta }(f)\) from Herz space to special Campanato spaces.