Proof of a conjecture of Zahariuta concerning a problem of Kolmogorov on the \(\epsilon\)-entropy
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Publication:706133
DOI10.1007/s00222-004-0372-5zbMath1066.32031OpenAlexW2083564471WikidataQ123002295 ScholiaQ123002295MaRDI QIDQ706133
Publication date: 2 February 2005
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00222-004-0372-5
plurisubharmonic functionpluricomplex Green functionpseudoconvex domainholomorphically convex compact setKolmogorov's problemrelative extremal functionupper semicontinuous regularizationZahariuta's conjecture
Related Items (10)
New solution of a problem of Kolmogorov on width asymptotics in holomorphic function spaces ⋮ Pluricapacity and approximation numbers of composition operators ⋮ Extendible bases and Kolmogorov problem on asymptotics of entropy and widths of some class of analytic functions ⋮ Approximation and entropy numbers of composition operators ⋮ On asymptotics of entropy of a class of analytic functions ⋮ Polynomial convexity, special polynomial polyhedra and applications. ⋮ On Lelong-Bremermann Lemma ⋮ Polynomial convexity, special polynomial polyhedra and the pluricomplex Green function for a compact set in \(\mathbb C^n\) ⋮ Some examples of composition operators and their approximation numbers on the Hardy space of the bidisk ⋮ Plurisubharmonic approximation and boundary values of plurisubharmonic functions
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