Browse > Article
http://dx.doi.org/10.4134/BKMS.2012.49.1.089

CHARACTERIZATIONS OF BESOV SPACES IN THE UNIT BALL  

Li, Songxiao (Department of Mathematics JiaYing University)
Publication Information
Bulletin of the Korean Mathematical Society / v.49, no.1, 2012 , pp. 89-98 More about this Journal
Abstract
In this paper we obtain some new characterizations of Besov spaces on the unit ball of $\mathbb{C}^n$. These characterizations are also completely new even in the settings of the unit disk.
Keywords
Besov space; Bergman space; Bloch space;
Citations & Related Records
연도 인용수 순위
  • Reference
1 K. Zhu, Spaces of Holomorphic Functions in the Unit Ball, Springer-Verlag, New York, 2005.
2 K. Hahn and E. Youssfi, Mobius invariant Besov p-spaces and Hankel operators in the Bergman space on the ball in ${\mathbb{C}^{n}$, Complex Variables Theory Appl. 17 (1991), no. 1-2, 89-104.   DOI   ScienceOn
3 H. T. Kaptanoglu, Bergman projections on Besov spaces on balls, Illinois J. Math. 49 (2005), no. 2, 385-403.
4 H. T. Kaptanoglu, Carleson measures for Besov spaces on the ball with applications, J. Funct. Anal. 250 (2007), no. 2, 483-520.   DOI   ScienceOn
5 E. G. Kwon, A characterization of Bloch space and Besov space, J. Math. Anal. Appl. 324 (2006), no. 2, 1429-1437.   DOI   ScienceOn
6 S. Li and S. Stevic, Some characterizations of the Besov space and the $\alpha$-Bloch space, J. Math. Anal. Appl. 346 (2008), no. 1, 262-273.   DOI   ScienceOn
7 S. Li and H. Wulan, Some new characterizations of Bloch spaces, Taiwanese J. Math. 14 (2010), no. 6, 2245-2259.   DOI
8 M. Nowak, Bloch and Mobius invariant Besov spaces on the unit ball of ${\mathbb{C}^{n}$, Complex Variables Theory Appl. 44 (2001), no. 1, 1-12.   DOI
9 W. Rudin, Function Theory in the Unit Ball of ${\mathbb{C}^{n}$, Springer-Verlag, New York, 1980.
10 K. Stroethoff, The Bloch space and Besov spaces of analytic functions, Bull. Austral. Math. Soc. 54 (1996), no. 2, 211-219.   DOI
11 R. M. Timoney, Bloch functions in several complex variables II, J. Reine Angew. Math. 319 (1980), 1-22.
12 M. Zhang and W. Xu, Composition operators on $\alpha$-Bloch spaces of the unit ball, Acta Math. Sin. (Engl. Ser.) 23 (2007), no. 11, 1991-2002.   DOI   ScienceOn
13 K. Zhu, Analytic Besov space, J. Math. Anal. Appl. 157 (1991), no. 2, 318-336.   DOI