A weak type inequality for Cauchy transforms of finite measures.
Verdera, Joan
Publicacions Matemàtiques, Tome 36 (1992), p. 1029-1034 / Harvested from Biblioteca Digital de Matemáticas
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In this note we present a simple proof of a recent result of Mattila and Melnikov on the existence of limε→0 ∫|ζ-z|>ε (ζ - z)-1dμ(ζ) for finite Borel measures μ in the plane.

Publié le : 1992-01-01
DMLE-ID : 4256 
@article{urn:eudml:doc:41767,
     title = {A weak type inequality for Cauchy transforms of finite measures.},
     journal = {Publicacions Matem\`atiques},
     volume = {36},
     year = {1992},
     pages = {1029-1034},
     mrnumber = {MR1210034},
     zbl = {0776.30028},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41767}
}

Verdera, Joan. A weak type inequality for Cauchy transforms of finite measures.. Publicacions Matemàtiques, Tome 36 (1992) pp. 1029-1034. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41767/