On asymptotics of entropy of a class of analytic functions

DOI10.7169/facm/1308749134zbMath1218.28010OpenAlexW1966556923MaRDI QIDQ548517

Vyacheslav Zakharyuta

Publication date: 29 June 2011

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.facm/1308749134

zbMATH Keywords

spaces of analytic functionsBedford-Taylor capacity of a condenserentropy and widths asymptoticsKolmogorov problem

Mathematics Subject Classification ID

Entropy and other invariants (28D20) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Plurisubharmonic extremal functions, pluricomplex Green functions (32U35) Capacity theory and generalizations (32U20)

Related Items (5)

New solution of a problem of Kolmogorov on width asymptotics in holomorphic function spaces ⋮ On the best linear approximation of holomorphic functions ⋮ Extendible bases and Kolmogorov problem on asymptotics of entropy and widths of some class of analytic functions ⋮ Approximation and entropy numbers of composition operators ⋮ Sampling, Metric Entropy, and Dimensionality Reduction

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• APPROXIMATE DIMENSION AND BASES IN NUCLEAR SPACES
• Approximation of plurisubharmonic functions by multipole Green functions

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