Commutators of singular integrals, the Bergman projection, and boundary regularity of elliptic equations in the plane

Alexander Tumanov

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arXiv · 1406.0258

Commutators of singular integrals, the Bergman projection, and boundary regularity of elliptic equations in the plane

Alexander Tumanov

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Abstract

We obtain estimates of commutators of singular integral operators in Lipschitz spaces and apply the results to boundary regularity of elliptic equations in the plane. We obtain an explicit asymptotic formula for the Bergman projection.

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Alexander Tumanov. 2014-06-02. Commutators of singular integrals, the Bergman projection, and boundary regularity of elliptic equations in the plane. https://arxiv.org/abs/1406.0258

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