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arXiv · 1110.0633

Variation for singular integrals on Lipschitz graphs: L^p and endpoint estimates

Albert Mas
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Abstract

Let 0 2, we prove that the r-variation and oscillation for Calderón-Zygmund singular integrals with odd kernel are bounded operators in L^p(H) for 1<p finite, from L^1(H) to weak-L^1(H), and from the space of bounded H-measurable functions to BMO(H). Concerning the first endpoint estimate, we actually show that such operators are bounded from the space of finite complex Radon measures in R^d to weak-L^1(H).

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Albert Mas. 2011-10-04. Variation for singular integrals on Lipschitz graphs: L^p and endpoint estimates. https://arxiv.org/abs/1110.0633

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