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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Mathematische Zeitsc...arrow_drop_down
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
Mathematische Zeitschrift
Article . 1990 . Peer-reviewed
License: Springer TDM
Data sources: Crossref
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A generalization of the corona theorem in the unit disc

Authors: Cegrell, Urban;

A generalization of the corona theorem in the unit disc

Abstract

The purpose of this note is to prove a variant of the corona theorem in the unit disc without using the notation of Carleson measure or any particular duality or factorization theorem for analytic functions. The corona theorem was first proved by Carleson [1]. For more background and further references, see Gamelin 1-2] and Garnett I-3, 4]. Notations. D is the unit disc in ~ ; T its boundary; H(D) the analytic functions on D; He(D)={ f sH(D) , sup ~ l f f d a < + ~ } where dcr is the normalized O < r < l Lebesgue measure on T. H ~ (D) = H(O) c~ L ~ (O).

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510.mathematics, Article

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
8
Average
Top 10%
Average
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