首页|Rough Singular Integral Operators along Submanifolds

Rough Singular Integral Operators along Submanifolds

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This paper is a summary of the research on the mapping properties of sin-gular integrals with rough kernels and the corresponding maximal operators.More precisely,the author presents some recent progress,interesting problems and typi-cal methods used in the theory concerning the boundedness and continuity for the rough singular integral operators and maximal singular integral operators along cer-tain submanifolds such as polynomial mappings,polynomial curves,homogeneous mappings,surfaces of revolution and real-analytic submanifolds on the Lebesgue spaces,Triebel-Lizorkin spaces,Besov spaces and mixed radial-angular spaces.

Singular integralmaximal singular integralrough kernelsubmanifolds

Feng Liu

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College of Mathematics and System Science,Shandong University of Science and Technology,Qingdao,Shandong 266590,China

Workshop on Operators with Rough Kernels in ChinaWorkshop on Operators with Rough Kernels in ChinaWorkshop on Operators with Rough Kernels in China国家自然科学基金

JinhuaJuly 15-18202211701333

2023

分析、理论与应用(英文版)
南京大学

分析、理论与应用(英文版)

影响因子:0.111
ISSN:1672-4070
年,卷(期):2023.39(3)
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