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Unbounded quadrature domains inR n (n≥3)

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Journal d’Analyse Mathématique Aims and scope

An Erratum to this article was published on 01 December 1991

Abstract

As a result of the powerful tools of complex analysis a lot of problems have been solved in the theory of Q.D.s (quadrature domain) inR 2. These problems are almost untouched inR n (n≥3). To study Q.D.s. inR n, one has to supply the subject with new techniques. This is the goal of papers by Shapiro, Khavinson and Shapiro, Sakai, and Gustafsson, where the authors approach the subject inR n by different methods. The main purpose of this paper is to generalize some of the ideas (already known inR 2) toR n (n≥3), and we merely work with unbounded Q.D.

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Authors and Affiliations

  1. Department of Mathematics, Royal Institute of Technology, S-100 44, Stockholm 70, Sweden

    Henrik Shahgholian

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  1. Henrik Shahgholian
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An erratum to this article is available at http://dx.doi.org/10.1007/BF03041074.

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Shahgholian, H. Unbounded quadrature domains inR n (n≥3). J. Anal. Math. 56, 281–291 (1991). https://doi.org/10.1007/BF02820468

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  • DOI: https://doi.org/10.1007/BF02820468

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