A weak type inequality for Cauchy transforms of finite measures.

Joan Verdera

Publicacions Matemàtiques (1992)

  • Volume: 36, Issue: 2B, page 1029-1034
  • ISSN: 0214-1493

Abstract

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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.

How to cite

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Verdera, Joan. "A weak type inequality for Cauchy transforms of finite measures.." Publicacions Matemàtiques 36.2B (1992): 1029-1034. <http://eudml.org/doc/41767>.

@article{Verdera1992,
abstract = {In this note we present a simple proof of a recent result of Mattila and Melnikov on the existence of limε→0 ∫|ζ-z|&gt;ε (ζ - z)-1dμ(ζ) for finite Borel measures μ in the plane.},
author = {Verdera, Joan},
journal = {Publicacions Matemàtiques},
keywords = {Cauchy transform; weak type inequality},
language = {eng},
number = {2B},
pages = {1029-1034},
title = {A weak type inequality for Cauchy transforms of finite measures.},
url = {http://eudml.org/doc/41767},
volume = {36},
year = {1992},
}

TY - JOUR
AU - Verdera, Joan
TI - A weak type inequality for Cauchy transforms of finite measures.
JO - Publicacions Matemàtiques
PY - 1992
VL - 36
IS - 2B
SP - 1029
EP - 1034
AB - In this note we present a simple proof of a recent result of Mattila and Melnikov on the existence of limε→0 ∫|ζ-z|&gt;ε (ζ - z)-1dμ(ζ) for finite Borel measures μ in the plane.
LA - eng
KW - Cauchy transform; weak type inequality
UR - http://eudml.org/doc/41767
ER -

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