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Boundary behaviour of analytic functions in spaces of Dirichlet type

Journal of Inequalities and Applications volume 2006, Article number: 927957 (2006) Cite this article

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 and Affiliations

  1. Departamento de Análisis Matemático, Facultad de Ciencias, Universidad de Málaga, Campus de Teatinos, Málaga, 29071, Spain

    Daniel Girela

  2. Departamento de Matemática Aplicada, Escuela Politécnica, Universidad de Málaga, Campus de El Ejido, Málaga, 29071, Spain

    José Ángel Peláez

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  1. Daniel Girela
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  2. José Ángel Peláez
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Correspondence to Daniel Girela.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Girela, D., Peláez, J.Á. Boundary behaviour of analytic functions in spaces of Dirichlet type. J Inequal Appl 2006, 927957 (2006). https://doi.org/10.1155/JIA/2006/92795

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