Geodesic
Convergence of singular integrals with general measures
Journal of the European Mathematical Society, Tome 11 (2009) no. 2, pp. 257-271 Cet article a éte moissonné depuis la source EMS Press

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We show that L2-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.
DOI : 10.4171/jems/149
Classification : 42-XX, 00-XX
Keywords: Singular integrals, principal values, martingales 
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     author = {Pertti Mattila and Joan Verdera},
     title = {Convergence of singular integrals with general measures},
     journal = {Journal of the European Mathematical Society},
     pages = {257--271},
     year = {2009},
     volume = {11},
     number = {2},
     doi = {10.4171/jems/149},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/149/}
}
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Pertti Mattila; Joan Verdera. Convergence of singular integrals with general measures. Journal of the European Mathematical Society, Tome 11 (2009) no. 2, pp. 257-271. doi: 10.4171/jems/149

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