ScholarLens Back to search
2002•Hokkaido Mathematical JournalOpen access

$L^{p}$ boundedness for singular integrals with rough kernels on product domains

Hussain Al-Qassem, Yibiao Pan

Open full text 32 citations

Abstract

In this paper we study a class of singular integral operators defined by poly- nomial mappings on product domains.We prove the L^{p} boundedness of such singular integral operators under very weak conditions on the singular kernels.For the corresponding maximal truncated singular integral operators we also obtained appropriate L^{p} bounds which were previously unavailable even in relateviely simple settings.

Open-access reader

About this research paper

What this paper is about

In this paper we study a class of singular integral operators defined by poly- nomial mappings on product domains.We prove the L^{p} boundedness of such singular integral operators under very weak conditions on the singular kernels.For the corresponding maximal truncated singular integral operators we also obtained appropriate L^{p} bounds which were previously unavailable even in relateviely simple settings.

Why it matters

OpenAlex reports 32 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

In this paper we study a class of singular integral operators defined by poly- nomial mappings on product domains.We prove the L^{p} boundedness of such singular integral operators under very weak conditions on the singular kernels.For the corresponding maximal truncated singular integral operators we also obtained appropriate L^{p} bounds which were previously unavailable even in relateviely simple settings.

Key concepts: Mathematics, Singular integral, Pure mathematics, Singular integral operators, Product (mathematics), Mathematical analysis, Geometry, Integral equation

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
$L^{p}$ boundedness for singular integrals with rough kernels on product domains — Research Paper | ScholarLens