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...
محفوظ في:
| المؤلف الرئيسي: | |
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| التنسيق: | Livre numérique |
| اللغة: | Anglais |
| منشور في: |
Basel :
Birkhäuser Basel
[20..].
Cham : Springer Nature |
| الطبعة: | 1st ed. 2006. |
| سلاسل: | Frontiers in Mathematics
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| الموضوعات: | |
| الوصول للمادة أونلاين: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| ملاحظة: |
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 |
| الملخص: | 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 |
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| وصف المادة: | Description d'après consultation du 29 mars 2011 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| بيبلوغرافيا: | Bibliogr. p. [227]-237. Index |
| ردمك: | 9783764377632 |
| تدمد: | 1660-8054 |
| وصول: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |