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POROSITY OF SETS AND THE ZYGMUND CLASS

Published online by Cambridge University Press:  24 March 2003

JUAN J. DONAIRE
JUAN J. DONAIRE
Affiliation:
Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra (Barcelona), [email protected]
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Abstract

A sufficient condition is provided for a compact set to be removable for analytic functions in the Zygmund spaces in terms of a porosity. As a consequence, it is shown that the classes of removable sets for the Zygmund space and the little Zygmund space are different.

Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 34 , Issue 6 , November 2002 , pp. 659 - 666
Copyright
© The London Mathematical Society 2002

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Footnotes

This work is partially supported by grants PB98-1242-C02-02 (Ministerio de Educación y Cultura), 2000SGR-00059 (Generalitat de Catalunya) and RTN1-1999-00196.