Convergence of singular integrals with general measures

Pertti Mattila, Joan Verdera

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Sammanfattning

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.
Originalspråkengelska
TidskriftEuropean Mathematical Society. Journal
Volym11
Nummer2
Sidor (från-till)257-271
Antal sidor15
ISSN1435-9855
DOI
StatusPublicerad - 2009
MoE-publikationstypA1 Tidskriftsartikel-refererad

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  • 111 Matematik

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