Open Access

Boundary behaviour of analytic functions in spaces of Dirichlet type

Journal of Inequalities and Applications20062006:927957

DOI: 10.1155/JIA/2006/92795

Received: 24 June 2005

Accepted: 8 November 2005

Published: 14 May 2006

Abstract

For and , we let be the space of all analytic functions in such that belongs to the weighted Bergman space . We obtain a number of sharp results concerning the existence of tangential limits for functions in the spaces . We also study the size of the exceptional set , where denotes the radial variation of along the radius , for functions .

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Authors’ Affiliations

(1)
Departamento de Análisis Matemático, Facultad de Ciencias, Universidad de Málaga
(2)
Departamento de Matemática Aplicada, Escuela Politécnica, Universidad de Málaga

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Copyright

© D. Girela and J.Á. Peláez 2006

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.