Porosity of sets and the Zygmund class

Juan J. Donaire

doi:10.1112/S0024609302001194

Porosity of sets and the Zygmund class

Juan J. Donaire

Departament de Matemàtiques

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Resum

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.

Idioma original	Anglès
Pàgines (de-a)	1-2
Revista	Bulletin of the London Mathematical Society
Volum	34
Número	6
DOIs	https://doi.org/10.1112/S0024609302001194
Estat de la publicació	Publicada - 1 de gen. 2002

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10.1112/S0024609302001194

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title = "Porosity of sets and the Zygmund class",

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.",

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year = "2002",

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N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/0036852490

U2 - 10.1112/S0024609302001194

DO - 10.1112/S0024609302001194

M3 - Article

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VL - 34

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JO - Bulletin of the London Mathematical Society

JF - Bulletin of the London Mathematical Society

IS - 6

ER -

Porosity of sets and the Zygmund class

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