Radial variation in some function spaces

Walsh, David

doi:https://doi.org/10.1155/2009/642594

Journal of Function Spaces

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Volume 7 |Article ID 642594 | https://doi.org/10.1155/2009/642594

David Walsh, "Radial variation in some function spaces", Journal of Function Spaces, vol. 7, Article ID 642594, 8 pages, 2009. https://doi.org/10.1155/2009/642594

Radial variation in some function spaces

David Walsh¹

¹Department of Mathematics, NUI Maynooth, Ireland

Academic Editor: Sten Kaijser

Received01 Jan 2008

Abstract

In a previous paper [8] we considered properties of the radial variation of analytic functions in a class of Besov spaces Ap,qs, s≻0. Here we wish to extend these results to certain related spaces. These are the Lipschitz classes Λs and the mean Lipschitz classes Λp,s where p≥1,0≺s≺1. We also consider Ap,q0, where s=0, although the results obtained for these are not as good as when s≻0.

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Copyright © 2009 Hindawi Publishing Corporation. 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.

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