Singular measures and the little bloch space.

Alicia Cantón

Publicacions Matemàtiques (1998)

  • Volume: 42, Issue: 1, page 211-222
  • ISSN: 0214-1493

Abstract

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Aleksandrov, Anderson and Nicolau have found examples of inner functions that are in the little Bloch space with a specific rate of convergence to zero. As a corollary they obtain positive singular measures defined in the boundary of the unit disc that are simultaneously symmetric and Kahane. Nevertheless their construction is very indirect. We give an explicit example of such measures by means of a martingale argument.

How to cite

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Cantón, Alicia. "Singular measures and the little bloch space.." Publicacions Matemàtiques 42.1 (1998): 211-222. <http://eudml.org/doc/41326>.

@article{Cantón1998,
abstract = {Aleksandrov, Anderson and Nicolau have found examples of inner functions that are in the little Bloch space with a specific rate of convergence to zero. As a corollary they obtain positive singular measures defined in the boundary of the unit disc that are simultaneously symmetric and Kahane. Nevertheless their construction is very indirect. We give an explicit example of such measures by means of a martingale argument.},
author = {Cantón, Alicia},
journal = {Publicacions Matemàtiques},
keywords = {Funciones de variable compleja; Función interior; Espacio hiperbólico; singular measure; inner functions; little Bloch space},
language = {eng},
number = {1},
pages = {211-222},
title = {Singular measures and the little bloch space.},
url = {http://eudml.org/doc/41326},
volume = {42},
year = {1998},
}

TY - JOUR
AU - Cantón, Alicia
TI - Singular measures and the little bloch space.
JO - Publicacions Matemàtiques
PY - 1998
VL - 42
IS - 1
SP - 211
EP - 222
AB - Aleksandrov, Anderson and Nicolau have found examples of inner functions that are in the little Bloch space with a specific rate of convergence to zero. As a corollary they obtain positive singular measures defined in the boundary of the unit disc that are simultaneously symmetric and Kahane. Nevertheless their construction is very indirect. We give an explicit example of such measures by means of a martingale argument.
LA - eng
KW - Funciones de variable compleja; Función interior; Espacio hiperbólico; singular measure; inner functions; little Bloch space
UR - http://eudml.org/doc/41326
ER -

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