Extensions of harmonic and analytic functions

Sheldon Axler, Allen Shields

Type: Article

Publication Date: 1990-09-01

Citations: 16

DOI: https://doi.org/10.2140/pjm.1990.145.1

Abstract

This paper studies the extensions of harmonic and analytic functions defined on the unit disk to continuous functions defined on a certain compactification of the disk.

Locations

Pacific Journal of Mathematics - View - PDF
Project Euclid (Cornell University) - View - PDF

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+ PDF Chat	The Berezin transform on the Toeplitz algebra	1998	Sheldon Axler Dechao Zheng
+ PDF Chat	Some characterizations of 𝐶(ℳ)	1996	Christopher J. Bishop
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Works Cited by This (16)

Action	Title	Year	Authors
+	Overconvergence, degree of convergence, and zeros of sequences of analytic functions	1946	J. L. Walsh
+	Bloch Functions: The Basic Theory	1985	J. M. Anderson
+	The Theory of Cluster Sets	1966	E. F. Collingwood A. J. Lohwater
+	Banach Spaces of Analytic Functions	2008	Rita A. Hibschweiler Thomas H. MacGregor
+	Function theory on the unit circle	1978	Donald Sarason
+ PDF Chat	Diagonalizing projections in multiplier algebras and in matrices over a<i>C</i><sup>∗</sup>-algebra	1990	Shuang Zhang
+ PDF Chat	Poincaré-Sobolev and related inequalities for submanifolds of R<sup><i>N</i></sup>	1990	John Hutchinson
+ PDF Chat	Isolation amongst the composition operators	1990	Joel H. Shapiro Carl Johan Sundberg
+ PDF Chat	Seifert surfaces of knots in<i>S</i><sup>4</sup>	1990	Daniel Ruberman
+ PDF Chat	Some coefficient problems and applications	1990	Y. J. Leung Glenn Schober