ScholarLens Back to search
2001•DergiPark (Istanbul University)Requires access

Lp Boundedness of a Class of Singular Integral Operators with Rough Kernels

Hussain Al-Qassem

Open publisher page 11 citations

Abstract

In this paper, we study the Lp mapping properties of singular integral operators with kernels belonging to certain block spaces. These operators have singularities along sets of the form {x=F (|y|)y'} where F satisfies certain growth conditions. Our results improve as well as extend previously known results on singular integrals.

About this research paper

What this paper is about

In this paper, we study the Lp mapping properties of singular integral operators with kernels belonging to certain block spaces. These operators have singularities along sets of the form {x=F (|y|)y'} where F satisfies certain growth conditions. Our results improve as well as extend previously known results on singular integrals.

Why it matters

OpenAlex reports 11 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 the Lp mapping properties of singular integral operators with kernels belonging to certain block spaces. These operators have singularities along sets of the form {x=F (|y|)y'} where F satisfies certain growth conditions. Our results improve as well as extend previously known results on singular integrals.

Key concepts: Mathematics, Singular integral, Singular integral operators, Gravitational singularity, Pure mathematics, Class (philosophy), Singular integral operators of convolution type, Fourier integral operator

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
Lp Boundedness of a Class of Singular Integral Operators with Rough Kernels — Research Paper | ScholarLens