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Resumen de Convergence of singular integrals with general measures

Pertti Mattila Árbol académico, Joan Verdera Árbol académico

  • 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.


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