JOURNAL BROWSE
Search
Advanced SearchSearch Tips
CHARACTERIZATIONS OF BESOV SPACES IN THE UNIT BALL
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
 Title & Authors
CHARACTERIZATIONS OF BESOV SPACES IN THE UNIT BALL
Li, Songxiao;
  PDF(new window)
 Abstract
In this paper we obtain some new characterizations of Besov spaces on the unit ball of . These characterizations are also completely new even in the settings of the unit disk.
 Keywords
Besov space;Bergman space;Bloch space;
 Language
English
 Cited by
1.
Some characterizations of harmonic Bloch and Besov spaces, Czechoslovak Mathematical Journal, 2016, 66, 2, 417  crossref(new windwow)
2.
On characterizations of Bloch spaces and Besov spaces of pluriharmonic mappings, Journal of Inequalities and Applications, 2015, 2015, 1  crossref(new windwow)
 References
1.
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. crossref(new window)

2.
H. T. Kaptanoglu, Bergman projections on Besov spaces on balls, Illinois J. Math. 49 (2005), no. 2, 385-403.

3.
H. T. Kaptanoglu, Carleson measures for Besov spaces on the ball with applications, J. Funct. Anal. 250 (2007), no. 2, 483-520. crossref(new window)

4.
E. G. Kwon, A characterization of Bloch space and Besov space, J. Math. Anal. Appl. 324 (2006), no. 2, 1429-1437. crossref(new window)

5.
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. crossref(new window)

6.
S. Li and H. Wulan, Some new characterizations of Bloch spaces, Taiwanese J. Math. 14 (2010), no. 6, 2245-2259. crossref(new window)

7.
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. crossref(new window)

8.
W. Rudin, Function Theory in the Unit Ball of ${\mathbb{C}^{n}$, Springer-Verlag, New York, 1980.

9.
K. Stroethoff, The Bloch space and Besov spaces of analytic functions, Bull. Austral. Math. Soc. 54 (1996), no. 2, 211-219. crossref(new window)

10.
R. M. Timoney, Bloch functions in several complex variables II, J. Reine Angew. Math. 319 (1980), 1-22.

11.
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. crossref(new window)

12.
K. Zhu, Analytic Besov space, J. Math. Anal. Appl. 157 (1991), no. 2, 318-336. crossref(new window)

13.
K. Zhu, Spaces of Holomorphic Functions in the Unit Ball, Springer-Verlag, New York, 2005.