This article is cited in 16 papers

Support of the extremal measure in a vector equilibrium problem

M. A. Lapik

M. V. Keldysh Institute for Applied Mathematics, Russian Academy of Sciences

Abstract: A generalization of the Mhaskar–Saff functional is obtained for a vector equilibrium problem with an external field. As an application, the supports of the equilibrium measures are found in a special vector equilibrium problem with Nikishin matrix.
Bibliography: 13 titles.

UDC: 517.53

MSC: 31A15

Received: 19.12.2005

DOI: 10.4213/sm1480

 English version: Sbornik: Mathematics, 2006, 197:8, 1205–1221

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