Zeros of extremal functions in weighted Bergman spaces.

DOI10.2140/pjm.2003.208.187zbMath1051.30012OpenAlexW2095272047MaRDI QIDQ1880013

Rachel J. Weir

Publication date: 16 September 2004

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2003.208.187

zbMATH Keywords

Bergman spaceextremal problemzero setcontractive zero divisor

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Classical hypergeometric functions, ({}_2F_1) (33C05) Spaces of differentiable or holomorphic functions on infinite-dimensional spaces (46E50)

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Inner functions in weighted Hardy spaces ⋮ Orthogonal polynomials, reproducing kernels, and zeros of optimal approximants ⋮ On the concept of inner function in Hardy and Bergman spaces in multiply connected domains ⋮ Extremal functions in weighted Bergman spaces ⋮ Mean value surfaces with prescribed curvature form ⋮ Zeros of hypergeometric functions