2014•Osaka City University (Osaka City University)Open access

L^P-ESTIMATES FOR THE ROUGH SINGULAR INTEGRALS ASSOCIATED TO SURFACES

Honghai Liu

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Abstract

In this paper we obtain the L p -boundedness for the maximal functions and the singular integrals associated to surfaces (y, (jyj)) with rough kernels, 1 < p < 1.The analogue estimate is also established for the corresponding maximal singular integrals.

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In this paper we obtain the L p -boundedness for the maximal functions and the singular integrals associated to surfaces (y, (jyj)) with rough kernels, 1 < p < 1.The analogue estimate is also established for the corresponding maximal singular integrals.

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Available abstract

In this paper we obtain the L p -boundedness for the maximal functions and the singular integrals associated to surfaces (y, (jyj)) with rough kernels, 1 < p < 1.The analogue estimate is also established for the corresponding maximal singular integrals.

Key concepts: Mathematics, Singular integral, Pure mathematics, Mathematical analysis, Singular integral operators, Integral equation

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