Abstract
This paper is the second part of a report on an investigation of vectorial Cauchy-Bunyakowskii-Schwarz (CBS) inequality and its applications to estimates of Taylor coefficients of univalent functions. The first part is published in [13] and contains a description of the main general ideas of our approach: CBS inequality for operator measures, quasi-orthogonal (co-isometric) decompositions with respect to complementary metrics, multiplicative averaging of solutions of general evolution equations. The detailed exposition of the theory is contained in [17].
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Nikolskii, N.K., Vasyunin, V.I. (1992). Quasi-Orthogonal Hilbert Space Decompositions and Estimates of Univalent Functions. II. In: Gonchar, A.A., Saff, E.B. (eds) Progress in Approximation Theory. Springer Series in Computational Mathematics, vol 19. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-2966-7_14
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