On the angular limits of Bloch functions.

Joan J. Carmona; Julià Cufi; Christian Pommerenke

Publicacions Matemàtiques (1988)

  • Volume: 32, Issue: 2, page 191-198
  • ISSN: 0214-1493

Abstract

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This paper contains a method to associate to each function f in the little Bloch space another function f* in the Bloch space in such way that f has a finite angular limit where f* is radially bounded. The idea of the method comes from the theory of lacunary series. An application to conformal mapping from the unit disc to asymptotically Jordan domains is given.

How to cite

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Carmona, Joan J., Cufi, Julià, and Pommerenke, Christian. "On the angular limits of Bloch functions.." Publicacions Matemàtiques 32.2 (1988): 191-198. <http://eudml.org/doc/41056>.

@article{Carmona1988,
abstract = {This paper contains a method to associate to each function f in the little Bloch space another function f* in the Bloch space in such way that f has a finite angular limit where f* is radially bounded. The idea of the method comes from the theory of lacunary series. An application to conformal mapping from the unit disc to asymptotically Jordan domains is given.},
author = {Carmona, Joan J., Cufi, Julià, Pommerenke, Christian},
journal = {Publicacions Matemàtiques},
keywords = {Espacios de Banach; Funciones analíticas; Límite angular; lacunary; Bloch functions; bounded; angular limits; Hausdorff dimension},
language = {eng},
number = {2},
pages = {191-198},
title = {On the angular limits of Bloch functions.},
url = {http://eudml.org/doc/41056},
volume = {32},
year = {1988},
}

TY - JOUR
AU - Carmona, Joan J.
AU - Cufi, Julià
AU - Pommerenke, Christian
TI - On the angular limits of Bloch functions.
JO - Publicacions Matemàtiques
PY - 1988
VL - 32
IS - 2
SP - 191
EP - 198
AB - This paper contains a method to associate to each function f in the little Bloch space another function f* in the Bloch space in such way that f has a finite angular limit where f* is radially bounded. The idea of the method comes from the theory of lacunary series. An application to conformal mapping from the unit disc to asymptotically Jordan domains is given.
LA - eng
KW - Espacios de Banach; Funciones analíticas; Límite angular; lacunary; Bloch functions; bounded; angular limits; Hausdorff dimension
UR - http://eudml.org/doc/41056
ER -

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