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Boundary Behaviour and Taylor Coefficients of Besov Functions

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Abstract

We derive an inclusion relation between Besov- and Dirichlet-type spaces of analytic functions in the unit disc \(U\), and investigate the tangential boundary behaviour and radial variation of functions in these spaces, outside exceptional subsets of \(\partial U\) of an appropriate capacity zero. We also deal with convergence results for the Taylor series of Besov-type functions on the boundary of \(U\).

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Authors and Affiliations

  1. Mathematics Department, University College Cork, Cork, Ireland

    J. B. Twomey

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  1. J. B. Twomey
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Correspondence to J. B. Twomey.

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Communicated by Kari Hag.

Dedicated to the memory of F. W. Gehring.

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Twomey, J.B. Boundary Behaviour and Taylor Coefficients of Besov Functions. Comput. Methods Funct. Theory 14, 541–557 (2014). https://doi.org/10.1007/s40315-014-0070-2

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  • DOI: https://doi.org/10.1007/s40315-014-0070-2

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