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Beneteau / Khavinson

Isoperimetric Sandwiches and Approximation by Analytic and Harmonic Functions

Medium: Buch
ISBN: 978-1-4987-5636-5
Verlag: Taylor & Francis Inc
Erscheinungstermin: 31.12.2026
vorbestellbar, Erscheinungstermin ca. Dezember 2026

The book focuses on a number of results and open problems dealing with a wide variety of isoperimetric inequalities., this approach can be characterized by a recently coined term "sandwiches". A certain quantity is introduced, usually as a degree of approximation to a given simple function, e.g., z*, x ^2, by either analytic or harmonic functions in some norm. Then, the estimates from below and above of the approximate distance are obtained in terms of simple geometric characteristics of the set, e.g., area, perimeter, capacity, etc. The resulting "sandwich" yields the isoperimetric inequality.


Produkteigenschaften


  • Artikelnummer: 9781498756365
  • Medium: Buch
  • ISBN: 978-1-4987-5636-5
  • Verlag: Taylor & Francis Inc
  • Erscheinungstermin: 31.12.2026
  • Sprache(n): Englisch
  • Auflage: 1. Auflage 2026
  • Serie: Chapman & Hall/CRC Monographs and Research Notes in Mathematics
  • Produktform: Gebunden
  • Seiten: 304
  • Format (B x H): 156 x 234 mm
  • Ausgabetyp: Kein, Unbekannt
Autoren/Hrsg.

Autoren

Introduction. Analytic content in Smirnov and Bergman norms. Toeplitz operators, isoperimetric inequalities, Bergman orthogonal polynomials. Higher dimensions: harmonic approximation and isoperimetric inequalities. Other free boundary problems in two dimensions. Concluding Remarks