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

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

1997-10-05

arxiv.org/abs/math/9710205v1

Mathematics

Functional Analysis

Scientific paper

Convolution type Calder\'on-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 $1condition is shown to be different from the condition $\Om\in H^1(\sn)$.

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