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arXiv · 0711.1291

Convergence of Singular integrals with general measures

P. Mattila·J. Verdera
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Abstract

We show that L^2-bounded singular integral in metric spaces with respect to general measures and kernels converge weakly. This implies a kind of average convergence almost everywhere. For measures with zero density we prove the almost everywhere existence of principal values.

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BibTeXRIS

P. Mattila, J. Verdera. 2007-11-08. Convergence of Singular integrals with general measures. https://arxiv.org/abs/0711.1291

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