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论与奇异超曲面相关的最大算子

IF 0.5 Q3 MATHEMATICS
Russian Mathematics Pub Date : 2024-05-09 DOI:10.3103/s1066369x24700051
S. E. Usmanov
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引用次数: 0

摘要

摘要 研究了多维欧几里得空间中与奇异超曲面相关的最大算子。这些算子已被证明是有界的，并且针对超曲面由参数方程给出的情况，发现了可积分函数空间中的有界性指数。
本文章由计算机程序翻译，如有差异，请以英文原文为准。
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On Maximal Operators Associated with Singular Hypersurfaces

Abstract

Maximal operators associated with singular hypersurfaces in multidimensional Euclidean spaces are considered. These operators have been proven to be bounded, and an exponent of boundedness in the space of integrable functions has been found for the case when hypersurfaces are given by parametric equations.

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来源期刊
Russian Mathematics
Russian Mathematics MATHEMATICS-
CiteScore
0.90
自引率
25.00%
发文量
0
期刊介绍： Russian Mathematics  is a peer reviewed periodical that encompasses the most significant research in both pure and applied mathematics.
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