## Abstract We define a class of weighted Besov spaces and we obtain a characterization of this class by means of an appropriate class of weighted Lipschitz __Ο__ spaces. (Β© 2007 WILEYβVCH Verlag GmbH & Co. KGaA, Weinheim)
Characterizations of QT Spaces
β Scribed by Hasi Wulan; Pengcheng Wu
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 102 KB
- Volume
- 254
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
β¦ Synopsis
We introduce a new space, Q space, of analytic functions on the unit disk in T terms of a nondecreasing function T. The relation between Q and Q spaces,
which have attracted considerable attention, is given by studying the growth order of T. The counterpart Q ΰ » of Q for the meromorphic case is also considered and
investigated. We note that some characterizations of Q ΰ » and Q are different. T T Ε½ Moreover, our results answer a question raised by P. Wu 1998, Complex Variables . 35, 157α170 in the negative.
π SIMILAR VOLUMES
## Abstract In this paper we obtain new characterizations of the distributions in certain anisotropic Besov spaces associated with expansive matrices. Also, anisotropic Herz type spaces are considered and the Fourier transform is analyzed on anisotropic Besov and Herz spaces.
Let X be a Banach space with a basis. We prove the following characterizations: (i) X is finite-dimensional if and only if every power-bounded operator is uniformly ergodic. (ii) X is reflexive if and only if every power-bounded operator is mean ergodic. (iii) X is quasi-reflexive of order one if
Complete L-regularity is internally characterized in terms of separating chains of open L-sets. A possible characterization in terms of normal and separating families of closed L-sets is discussed and it is shown that spaces admitting such families are completely L-regular. The question of whether t