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Complex Interpolation of Nonlinear Operators and Lebedev‐Milin Inequalities for Taylor Coefficients of Composed Analytic Functions
Author(s) -
Cwikel Michael
Publication year - 1987
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19871320111
Subject(s) - mathematics , interpolation (computer graphics) , generalization , taylor series , analytic function , nonlinear system , mathematical analysis , type (biology) , pure mathematics , calculus (dental) , algebra over a field , animation , ecology , computer graphics (images) , biology , medicine , physics , dentistry , quantum mechanics , computer science
A generalization of a theorem of Bergh concerning complex interpolation of nonlinear operators is applied to prove Lebedev‐Milin type estimates for Taylor coefficients of composed analytic functions.