Hostname: page-component-cd9895bd7-dzt6s Total loading time: 0 Render date: 2024-12-29T18:23:07.236Z Has data issue: false hasContentIssue false
  • English
  • Français

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]
Get access

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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.