000			02028 a2200241 4500
003			OSt
020			_a9781351459143
040			_cIIT Kanpur
041			_aeng
082			_a515.73 _bC838c
100			_aCarl C. Cowen
245			_aComposition operators on spaces of analytic functions _cCarl C. Cowen Jr. and Barbara I. MacCluer
260			_bCRC Press _c1995 _aBoca Raton
300			_axii, 388p
440			_aStudies in advanced mathematics
490			_vv.20
520			_aThe study of composition operators lies at the interface of analytic function theory and operator theory. Composition Operators on Spaces of Analytic Functions synthesizes the achievements of the past 25 years and brings into focus the broad outlines of the developing theory. It provides a comprehensive introduction to the linear operators of composition with a fixed function acting on a space of analytic functions. This new book both highlights the unifying ideas behind the major theorems and contrasts the differences between results for related spaces. Nine chapters introduce the main analytic techniques needed, Carleson measure and other integral estimates, linear fractional models, and kernel function techniques, and demonstrate their application to problems of boundedness, compactness, spectra, normality, and so on, of composition operators. Intended as a graduate-level textbook, the prerequisites are minimal. Numerous exercises illustrate and extend the theory. For students and non-students alike, the exercises are an integral part of the book. By including the theory for both one and several variables, historical notes, and a comprehensive bibliography, the book leaves the reader well grounded for future research on composition operators and related areas in operator or function theory.
650			_aAnalytic spaces
650			_aComposition operators
700			_aMacCluer, Barbara I.
856			_uhttps://ebookcentral.proquest.com/lib/iitk-ebooks/reader.action?docID=5731924&query=5731924
942			_cEBK
999			_c565956 _d565956