|
|
libcats.org
Holomorphic Q ClassesJie XiaoThe space Q p consists of all holomorphic functions f on the unit disk for which the L^2 area integrals of its derivative against the p-th power of the Green function of the unit disk are uniformly bounded in the variable that survives the integration. It turns out that Q 1 coincides with BMOA, while, for p>1, Q p are just the Bloch space. For p/in (0,1) the Q p furnish an increasing sequence of spaces, each invariant under conformal mappings of the unit disk onto itself, which interpolate between the Dirichlet space and BMOA. This monograph covers a number of important aspects in complex, functional and harmonic analysis. The primary focus is Q p, p/in (0,1), and their equivalent characterizations. Based on the up-to-date results obtained by experts in their respective fields, each of the eight chapters unfolds from the basics to the more complex. The exposition here is rapid-paced and efficient, with proofs and examples.
Популярные книги за неделю:
Система упражнений по развитию способностей человека (Практическое пособие)Автор: Петров Аркадий НаумовичКатегория: Путь к себе
Размер книги: 818 Kb
Сотворение мира (3-х томник)Автор: Петров Аркадий НаумовичКатегория: Путь к себе
Размер книги: 817 Kb
Только что пользователи скачали эти книги:
Sustainability of rice in the global food systemАвтор: Noreen G Dowling, Автор: S M Greenfield, Автор: K S Fischer, Автор: University of California, Автор: Davis. Pacific Basin Study Center., Автор: International Rice Research Institute.
Размер книги: 30.14 Mb
Currencies, Capital Flows and Crises: A post Keynesian analysis of exchange rate determinationАвтор: John T. HarveyКатегория: Economics
Размер книги: 3.99 Mb
3D Game Engine Architecture: Engineering Real-Time Applications with Wild Magic (The Morgan Kaufmann Series in Interactive 3D Technology)Автор: David H. EberlyКатегория: Computer Graphics
Размер книги: 3.99 Mb
Plant Roots: The Hidden Half (Books in Soils, Plants and the Environment)Автор: Yoav Waisel, Автор: Amram Eshel, Автор: Uzi Kafkafi
Размер книги: 13.89 Mb
The February Man: Evolving Consciousness and Identity in HypnotherapyАвтор: Milton H. Erickson, Автор: Ernest Lawrence Rossi
Размер книги: 16.33 Mb
Supernatural Protection (Bible Curriculum) (Azw, Epub, Mobi & PDF)Автор: John HamelКатегория: Christian
Размер книги: 1.01 Mb
|
|
|