Three problems in function theory

J. E. Brennan

doi:10.1007/978-3-319-59078-3_10

Three problems in function theory

J. E. Brennan

Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

2 Scopus citations

Abstract

The three problems mentioned in the title are as follows: L^p-approximation by polynomials and rational functions; the uniqueness property of the analytic functions; and the integrability of the derivative in conformal mapping. The emphasis in this exposition is on potential theoretic ideas underlying many results presented.

Original language	English
Title of host publication	Operator Theory
Subtitle of host publication	Advances and Applications
Pages	191-227
Number of pages	37
DOIs	https://doi.org/10.1007/978-3-319-59078-3_10
State	Published - 2018

Publication series

Name	Operator Theory: Advances and Applications
Volume	261
ISSN (Print)	0255-0156
ISSN (Electronic)	2296-4878

Bibliographical note

Publisher Copyright:
© Springer International Publishing AG, part of Springer Nature 2018.

Keywords

Approximation in the mean by polynomials
Asymptotically holomorphic functions
Capacity
Conformal map
Crescent
Dyn’kin extension theorem
Harmonic measure
Subnormal operator

ASJC Scopus subject areas

Analysis

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10.1007/978-3-319-59078-3_10

Cite this

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KW - Asymptotically holomorphic functions

KW - Capacity

KW - Conformal map

KW - Crescent

KW - Dyn’kin extension theorem

KW - Harmonic measure

KW - Subnormal operator

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Three problems in function theory

Abstract

Publication series

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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