1998•Indiana University Mathematics JournalOpen access

L^p bounds for singular integrals and maximal singular integrals with rough kernels

Loukas Grafakos, Atanas G. Stefanov

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Abstract

Convolution type Calderón-Zygmund singular integral operators with rough kernels $\pv \Om(x)/|x|^n$ are studied. A condition on $\Om$ implying that the corresponding singular integrals and maximal singular integrals map $L^p \to L^p$ for $1

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Convolution type Calderón-Zygmund singular integral operators with rough kernels $\pv \Om(x)/|x|^n$ are studied. A condition on $\Om$ implying that the corresponding singular integrals and maximal singular integrals map $L^p \to L^p$ for $1

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Available abstract

Convolution type Calderón-Zygmund singular integral operators with rough kernels $\pv \Om(x)/|x|^n$ are studied. A condition on $\Om$ implying that the corresponding singular integrals and maximal singular integrals map $L^p \to L^p$ for $1

Key concepts: Singular integral, Mathematics, Convolution (computer science), Singular solution, Mathematical analysis, Singular integral operators, Type (biology), Pure mathematics

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