Hyperbolic BMOA classes
نویسندگان
چکیده
منابع مشابه
Compactness of Composition Operators on Bmoa
A function theoretic characterization is given of when a composition operator is compact on BMOA, the space of analytic functions on the unit disk having radial limits that are of bounded mean oscillation on the unit circle. When the symbol of the composition operator is univalent, compactness on BMOA is shown to be equivalent to compactness on the Bloch space, and a characterization in terms o...
متن کاملCompact composition operators on BMOA(Bn)
Dedicated to Professor T.-D. Zhong on the occasion of his 80th birthday Abstract: The paper gives some characterization theorems for the compact composition operator on some function spaces. In particular, it gives a characterization for compact composition operators on BMOA(Bn) with Bn being the unit ball in C , which generalizes a result proved by Bourdon, Cima and Matheson for the case n = 1...
متن کاملz-CLASSES OF ISOMETRIES OF THE HYPERBOLIC SPACE
Let G be a group. Two elements x, y are said to be z-equivalent if their centralizers are conjugate in G. The class equation of G is the partition of G into conjugacy classes. Further decomposition of conjugacy classes into z-classes provides an important information about the internal structure of the group, cf. [8] for the elaboration of this theme. Let I(Hn) denote the group of isometries of...
متن کاملGeodesics and commensurability classes of arithmetic hyperbolic 3-manifolds
This sharpens [10], where it was shown that the complex length spectrum of M determines its commensurability class. Suppose M ′ is an arithmetic hyperbolic 3-manifold which is not commensurable to M . Theorem 1.1 implies QL(M) 6= QL(M ′), though by Example 2.1 below it is possible that one of QL(M ′) or QL(M) contains the other. By the length formulas recalled in §2.1 and §2.2, each element of ...
متن کاملThe moduli space of isometry classes of globally hyperbolic spacetimes
This is the last article in a series of three initiated by the second author. We elaborate on the concepts and theorems constructed in the previous articles. In particular, we prove that the GH and the GGH uniformities previously introduced on the moduli space of isometry classes of globally hyperbolic spacetimes are different, but the Cauchy sequences which give rise to well-defined limit spac...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2012
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2012.02.032