JOURNAL BROWSE
Search
Advanced SearchSearch Tips
NEW CHARACTERIZATIONS OF COMPOSITION OPERATORS BETWEEN BLOCH TYPE SPACES IN THE UNIT BALL
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
 Title & Authors
NEW CHARACTERIZATIONS OF COMPOSITION OPERATORS BETWEEN BLOCH TYPE SPACES IN THE UNIT BALL
Fang, Zhong-Shan; Zhou, Ze-Hua;
  PDF(new window)
 Abstract
In this paper, we give new characterizations of the boundedness and compactness of composition operators between Bloch type spaces in the unit ball , in terms of the power of the components of , where is a holomorphic self-map of .
 Keywords
composition operator;compactness;Bloch type spaces;unit ball;several complex variables;
 Language
English
 Cited by
 References
1.
C. C. Cowen and B. D. MacCluer, Composition Operators on Spaces of Analytic Functions, CRC Press, Boca Raton, 1995.

2.
H. Chen and P. Gauthier, Composition operators on $\mu$-Bloch spaces, Canad. J. Math. 61 (2009), no. 1, 50-75. crossref(new window)

3.
J. Dai, Compact composition operators on the Bloch space of the unit ball, J. Math. Anal. Appl. 386 (2012), no. 1, 294-299. crossref(new window)

4.
K. Esmaeili and M. Lindstrom, Weighted composition operators between Zygmund type spaces and their essential norms, Integral Equations Operator Theory 75 (2013), no. 4, 473-490. crossref(new window)

5.
Z. S. Fang, Compact composition operators between Bloch type spaces in the polydisk, Abstr. Appl. Anal. 2012 (2012), Article ID 732709, 7 pp.

6.
Z. S. Fang and Z. H. Zhou, Essential norms of composition operators between Bloch type spaces in the polydisk, Arch. Math. (Basel) 99 (2012), no. 6, 547-556. crossref(new window)

7.
O. Hyvarinen, M. Kemppainen, M. Lindstrom, A. Rautio, and E. Saukko,The essential norm of weighted composition operators on weighted Banach spaces of analytic functions, Integral Equations Operator Theory 72 (2012), no. 2, 151-157. crossref(new window)

8.
O. Hyvarinen and M. Lindstrom, Estimates of essential norms of weighted composition operators between Bloch-type spaces, J. Math. Anal. Appl. 393 (2012), no. 1, 38-44. crossref(new window)

9.
Y. X. Liang and Z. H. Zhou, Essential norm of the product of differentiation and com- position operators between Bloch-type spaces, Arch. Math. (Basel) 100 (2013), no. 4, 347-360. crossref(new window)

10.
Y. X. Liang and Z. H. Zhou, New estimate of essential norm of composition followed by differentiation between Bloch-type spces, Banach J. Math. Anal. 7 (2013), 160-172. crossref(new window)

11.
K. Madigan and A. Matheson, Compact composition operators on the Bloch space, Trans. Amer. Math. Soc. 347 (1995), no. 7, 2679-2687. crossref(new window)

12.
J. Manhas and R. Zhao, New estimates of essential norms of weighted composition operators between Bloch type spaces, J. Math. Anal. Appl. 389 (2012), no. 1, 32-47. crossref(new window)

13.
J. H. Shapiro, The essential norm of a composition operator, Ann. Math. 125 (1987), no. 2, 375-404. crossref(new window)

14.
J. H. Shapiro, Composition Operators and Classical Function Theory, Springer-Verlag, New York, 1993.

15.
S. Stevic, On new Bloch-type spaces, Appl. Math. Comput. 215 (2009), no. 2, 841-849. crossref(new window)

16.
S. Stevic, R. Y. Chen, and Z. H. Zhou, Weighted composition operators between Bloch-type spaces in the polydisk, Sbornik Mathematics 201 (2010), no. 2, 289-319. crossref(new window)

17.
Y. Wu and H. Wulan, Products of differentiation and composition operators on the Bloch space, Collect. Math. 63 (2012), no. 1, 93-107. crossref(new window)

18.
H. Wulan, D. Zheng, and K. Zhu, Compact composition operators on BMO and the Bloch space, Proc. Amer. Math. Soc. 137 (2009), no. 11, 3861-3868. crossref(new window)

19.
R. Zhao, Essential norms of composition operators between Bloch type spaces, Proc. Amer. Math. Soc. 138 (2010), no. 7, 2537-2546. crossref(new window)

20.
Z. H. Zhou, Y. X. Liang, and X. T. Dong, Weighted composition operator between weighted-type space and Hardy space on the unit ball, Ann. Polon. Math. 104 (2012), no. 3, 309-319. crossref(new window)

21.
Z. H. Zhou and J. H. Shi, Compact composition operators on the Bloch space in the polydisk, Sci. China Ser. A 44 (2001), no. 3, 286-291. crossref(new window)

22.
Z. H. Zhou and J. H. Shi, Composition operators on the Bloch space in the polydisk, Complex Variables 46 (2001), no. 1, 73-88. crossref(new window)

23.
Z. H. Zhou and J. H. Shi, Compactness of composition operators on the Bloch space in classical bounded symmetric domains, Michigan Math. J. 50 (2002), no. 2, 381-405. crossref(new window)

24.
H. G. Zeng and Z. H. Zhou, Essential norm estimate of a composition operator between Bloch-type spaces in the unit ball, Rocky Mountain J. Math. 42 (2012), no. 3, 1049-1071. crossref(new window)

25.
K. Zhu, Operator Theory in Function Spaces, Marcel Dekker, New York, 1990.