liu.seSearch for publications in DiVA
Change search
ReferencesLink to record
Permanent link

Direct link
Removable singularities for hardy spaces
Linköping University, Department of Mathematics, Applied Mathematics. Linköping University, The Institute of Technology.ORCID iD: 0000-0002-9677-8321
1998 (English)In: Complex Variables and Elliptic Equations, ISSN 1747-6933, Vol. 35, no 1, 1-25 p.Article in journal (Refereed) Published
Abstract [en]

In this paper we study removable singularities for Hardy spaces of analytic funtions on general domains. Two different definitions are given. For compact sets they turn out to be equal and moreover independent of the surrounding domain, as was proved by D. A Hejhal For non-compact sets the difference between the definitions is studied. A survey of the present knowledge is given, except for the special cases of singularities lying on curves and singularities being self-similar Cantor sets, which the author deals with in other papers. Among the results is the non-removability for Hp of sets with dimension greater than ρ. 0 < ρ < 1. Many counterexamples are provided and the Hp capacities are introduced and studied.

Place, publisher, year, edition, pages
1998. Vol. 35, no 1, 1-25 p.
Keyword [en]
Analytic capacity; analytic continuation; analytic function; capacity; conformal; invariant; Hardy class; Hp-capacity; Hp-space; harmonic majorant; harmonic measure; Hausdorff dimension; Hausdorff measure; holomorphie function; logarithmic capacity; newtonian capacity; Riesz capacity; removable singularity
National Category
URN: urn:nbn:se:liu:diva-18302DOI: 10.1080/17476939808815069OAI: diva2:217869
This is an electronic version of an article published in: Anders Björn, Removable singularities for hardy spaces, 1998, Complex Variables and Elliptic Equations, (35), 1, 1-25. Complex Variables and Elliptic Equations is available online at informaworldTM: Copyright: Taylor & Francis Group Available from: 2009-05-17 Created: 2009-05-17 Last updated: 2013-12-17Bibliographically approved

Open Access in DiVA

fulltext(307 kB)238 downloads
File information
File name FULLTEXT01.pdfFile size 307 kBChecksum SHA-512
Type fulltextMimetype application/pdf

Other links

Publisher's full text

Search in DiVA

By author/editor
Björn, Anders
By organisation
Applied MathematicsThe Institute of Technology
In the same journal
Complex Variables and Elliptic Equations

Search outside of DiVA

GoogleGoogle Scholar
Total: 238 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 987 hits
ReferencesLink to record
Permanent link

Direct link