Hausdorff operators on p-adic linear spaces and their properties in Hardy, BMO, and H?lder spaces
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- 作者：S. S. Volosivets (19806)
- 关键词：Hausdorff operator ; p ; adic linear space ; Hardy space ; H?lder space ; the space BMO ; p ; adic matrix operator ; Haar measure
- 刊名：Mathematical Notes
- 出版年：2013
- 出版时间：4 - March 2013
- 年：2013
- 卷：93
- 期：3
- 页码：382-391
- 全文大小：679KB
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19806. Saratov State University, Saratov, Russia - ISSN：1573-8876
文摘
Sufficient conditions for the boundedness of p-adic matrix operators in Hardy, H?lder and BMO spaces are obtained. These conditions are expressed in terms of the determinant of the matrix and its norm in a p-adic linear space.