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arXiv · 2109.06690

Birth and life of the $L^{2}$ boundedness of the Cauchy Integral on Lipschitz graphs

Joan Verdera
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Abstract

We review various motives for considering the problem of estimating the Cauchy Singular Integral on Lipschitz graphs in the $L^{2}$ norm. We follow the thread that led to the solution and then describe a few of the innumerable applications and ramifications of this fundamental result. We concentrate on its influence in complex analysis, geometric measure theory and harmonic measure.

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Joan Verdera. 2021-09-14. Birth and life of the $L^{2}$ boundedness of the Cauchy Integral on Lipschitz graphs. https://arxiv.org/abs/2109.06690

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