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Convergence of singular integrals with general measures

By Pertti Mattila and Joan Verdera

Abstract

Abstract. We show that L 2-bounded singular integrals 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. 1

Year: 2013
OAI identifier: oai:CiteSeerX.psu:10.1.1.316.324
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