Skip to Main Content


AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution


Metric properties of harmonic measures

About this Title

Vilmos Totik

Publication: Memoirs of the American Mathematical Society
Publication Year: 2006; Volume 184, Number 867
ISBNs: 978-0-8218-3994-2 (print); 978-1-4704-0471-0 (online)
DOI: https://doi.org/10.1090/memo/0867
MathSciNet review: 2263357
MSC: Primary 31A15; Secondary 26C05, 30C10, 41A05, 42A05

PDF View full volume as PDF

View other years and numbers:

Table of Contents

Chapters

  • 1. Introduction
  • 2. Metric properties of harmonic measures, Green functions and equilibrium measures
  • 3. Sharpness
  • 4. Higher order smoothness
  • 5. Cantor-type sets
  • 6. Phargmén–Lindelöf type theorems
  • 7. Markov and Bernstein type inequalities
  • 8. Fast decreasing polynomials
  • 9. Remez and Schur type inequalities
  • 10. Approximation on compact sets