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Bounded pointwise approximation on open Riemann surfaces
-
André Boivin
Published/Copyright:
September 25, 2009
A characterization of those open sets U on an open Riemann surface for which A(U) is pointwise boundedly dense in H∞(U) is obtained, thus generalizing to Riemann surfaces results of T. W. Gamelin and J. Garnett.
Keywords: Bounded pointwise approximation; open Riemann surface; analytic capacity; Vitushkin localization operator; localization theorem
Received: 2006-6-13
Published Online: 2009-9-25
Published in Print: 2007-10-1
© Oldenbourg Wissenschaftsverlag
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- Universal (pluri)subharmonic functions
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- Lacunary (R, p, M)-summability
- MacLane functions with prescribed zeros and interpolation properties
- Reasoning and proof in the mathematics classroom
Keywords for this article
Bounded pointwise approximation;
open Riemann surface;
analytic capacity;
Vitushkin localization operator;
localization theorem
Articles in the same Issue
- In memoriam Gerald Schmieder
- A general cross theorem with singularities
- Bounded pointwise approximation on open Riemann surfaces
- Generalized Fourier expansion in kernels of convolution operators on Fourier hyperfunctions
- Stein's extension operator for sets with Lipγ-boundary
- On some representation formulas involving moduli of Blaschke products
- Universal (pluri)subharmonic functions
- Uniform approximation on the real axes by functions harmonic in a stripe and having optimal growth
- Univalence of a complex linear combination of two extremal parallel slit mappings
- Lacunary (R, p, M)-summability
- MacLane functions with prescribed zeros and interpolation properties
- Reasoning and proof in the mathematics classroom
