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arXiv:0711.1291 [math.CA]AbstractReferencesReviewsResources

Convergence of Singular integrals with general measures

P. Mattila, J. Verdera

Published 2007-11-08Version 1

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.

Comments: to appear in J. Eur. Math. Soc
Journal: J. Eur. Math. Soc. (JEMS) 11 (2009), no. 2, 257-271
Categories: math.CA, math.FA
Subjects: 42B20
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