Geometric Qp functions

The aim of the book Geometric Q Functions is to document the rich structure of p the holomorphic Q functions which are geometricin the sense that they transform naturally under conformal mappings, with particular emphasis on the last few years developmentbasedoninteractionbetweengeometricalfunctiona...

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書誌詳細
第一著者: Xiao, Jie, 1963-
フォーマット: Livre numérique
言語:Anglais
出版事項: Basel : Birkhäuser Basel [20..].
Cham : Springer Nature
版:1st ed. 2006.
シリーズ:Frontiers in Mathematics
主題:
オンライン・アクセス:Accès sur la plateforme de l'éditeur
Accès sur la plateforme Istex
Accès Université d'Orléans
Accès INSA CVL
注記: Description d'après consultation du 29 mars 2011
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Geometric Qp functions, Jie Xiao, Basel, Birkhäuser, 2006, 1 vol. (X-240 p.), Frontiers in mathematics, 3-7643-7762-3
• Geometric Qp Functions, Texte imprimé, 9783764391515
• Geometric Qp functions, Jie Xiao, Basel, Birkhäuser, 2006, 1 vol. (X-240 p.), Frontiers in mathematics, 3-7643-7762-3
• Geometric Qp Functions, Texte imprimé, 9783764391515
• Geometric Qp functions, Jie Xiao, Basel, Birkhäuser, 2006, 1 vol. (X-240 p.), Frontiers in mathematics, 3-7643-7762-3
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100 1 |a Xiao, Jie,  |d 1963- 
245 1 0 |a Geometric Qp functions   |c by Jie Xiao. 
250 |a 1st ed. 2006. 
260 |a Basel :  |b Birkhäuser Basel. 
260 |a Cham :  |b Springer Nature,  |c [20..]. 
490 0 |a Frontiers in Mathematics  |x 1660-8054 
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500 |a Archives Springer e-books (Licence nationale) 
500 |a Archives Springer e-books (Licence nationale) 
504 |a Bibliogr. p. [227]-237. Index 
505 1 |a Preliminaries Poisson versus Berezin with Generalizations Isomorphism, Decomposition and Discreteness Invariant Preduality through Hausdorff Capacity Cauchy Pairing with Expressions and Extremities As Symbols of Hankel and Volterra Operators Estimates for Growth and Decay Holomorphic Q-Classes on Hyperbolic Riemann Surfaces 
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520 |a The aim of the book Geometric Q Functions is to document the rich structure of p the holomorphic Q functions which are geometricin the sense that they transform naturally under conformal mappings, with particular emphasis on the last few years developmentbasedoninteractionbetweengeometricalfunctionandmeasure theory and other branches of mathematical analysis, including complex variables, harmonic analysis, potential theory, functional analysis, and operator theory. The book comprises eight chapters in which some results appear for the ?rst time. The ?rst chapter begins with a motive and a very brief review of the mostly standard characterizations of holomorphic Q functions presented in the author s monograph Springer s LNM 1767:Holomorphic Q Classes followed by some further preliminaries on logarithmic conformal maps, conformal domains and - perpositionsandharmonicmajorantswithanapplicationtoEuler Lagrangeeq- tions. The second chapter gives function-theoretic characterizations by means of Poisson extension and Berezin transform with two more generalized variants. The thirdchaptertakesa carefullookatisomorphism,decomposition,anddiscreteness of spaces via equivalent forms of the generalized Carleson measures. The fourth chapter discusses invariant preduality through Hausdor? capacity, which is a u- ful tool to classify negligible sets for various ?ne properties of functions. The ?fth chapter develops some essential properties of the Cauchy dualities via both weak factorizations and extreme points of the target function spaces. The sixth chapter shows particularly that each holomorphic Q function can be treated as a symbol of the holomorphic Hankel and Volterra operators acting between two Dirichlet spaces 
650 |a Intégration de fonctions 
650 |a Fonctions holomorphes 
650 |a Fonctions d'une variable complexe 
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