Variation and oscillation for singular integrals with odd kernel on Lipschitz graphs

Details Variation and oscillation for singular integrals with odd kernel on Lipschitz graphs Variation and oscillation for singular integrals with odd kernel on Lipschitz graphs

2011-01-10

arxiv.org/abs/1101.1734v2

Mathematics

Classical Analysis and ODEs

38 pages

Scientific paper

We prove that, for r>2, the r-variation and oscillation for the smooth truncations of the Cauchy transform on Lipschitz graphs are bounded in L^p for 1

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