On singular integrals and maximal operators along surfaces of revolution on product domains

IF 1.1 3区数学 Q1 MATHEMATICS

Journal of Mathematical Inequalities Pub Date : 2023-01-01 DOI:10.7153/jmi-2023-17-48

AL Hussain, Qassem, L. Cheng

引用次数: 0

Abstract

. We study the mapping properties of singular integral operators along surfaces of revo-lutions on product domains. For several classes of surfaces, we prove sharp L p bounds ( 1 < p <  ) for these singular integral operators as well as their corresponding maximal operators. By using these L p bounds and an extrapolation argument we obtain the L p boundedness of these operators under optimal conditions on the singular kernels. Our results extend and improve several results previously obtained by many authors.

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乘积域上沿旋转曲面的奇异积分和极大算子

．研究了乘积域上沿旋转曲面的奇异积分算子的映射性质。对于几类曲面，我们证明了这些奇异积分算子及其对应的极大算子的锐利的L p界(1 < p <)。在奇异核的最优条件下，利用这些算子的L - p界和一个外推论证，得到了这些算子的L - p有界性。我们的结果扩展和改进了许多作者以前得到的一些结果。

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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来源期刊

Journal of Mathematical Inequalities MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.90

自引率

3.40%

发文量

审稿时长

6-12 weeks

期刊介绍： The ''Journal of Mathematical Inequalities'' (''JMI'') presents carefully selected original research articles from all areas of pure and applied mathematics, provided they are concerned with mathematical inequalities and their numerous applications. ''JMI'' will also periodically publish invited survey articles and short notes with interesting results treating the theory of inequalities, as well as relevant book reviews. Only articles written in the English language and in a lucid, expository style will be considered for publication. ''JMI'' primary audience are pure mathematicians, applied mathemathicians and numerical analysts. ''JMI'' is published quarterly; in March, June, September, and December.