2004Analysis in Theory and ApplicationsRequires access

Singular integrals along surfaces on product domains

Hussain Al-Qassem

Open publisher page 6 citations

Abstract

In this paper, we study the mapping properties of singular integral operator along surfaces of revolution. We prove L p bounds (1<p<∞) for such singular integral operators as well as for their corresponding maximal truncated singular integrals if the singular kernels are allowed to be in certain block spaces.

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What this paper is about

In this paper, we study the mapping properties of singular integral operator along surfaces of revolution. We prove L p bounds (1<p<∞) for such singular integral operators as well as for their corresponding maximal truncated singular integrals if the singular kernels are allowed to be in certain block spaces.

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OpenAlex reports 6 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In this paper, we study the mapping properties of singular integral operator along surfaces of revolution. We prove L p bounds (1<p<∞) for such singular integral operators as well as for their corresponding maximal truncated singular integrals if the singular kernels are allowed to be in certain block spaces.

Key concepts: Singular integral, Mathematics, Singular integral operators, Singular solution, Product (mathematics), Mathematical analysis, Operator (biology), Pure mathematics

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