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COMPOSITION OPERATORS FROM HARDY SPACES INTO α-BLOCH SPACES ON THE POLYDISK
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 Title & Authors
COMPOSITION OPERATORS FROM HARDY SPACES INTO α-BLOCH SPACES ON THE POLYDISK
SONGXIAO LI;
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 Abstract
Let be a holomorphic self­map of , where is the unit polydisk of . The sufficient and necessary conditions for a composition operator to be bounded and compact from the Hardy space into -Bloch space on the polydisk are given.
 Keywords
composition operator;Hardy space;-Bloch space;
 Language
English
 Cited by
 References
1.
C. C. Cowen and B. D. MacCluer, Composition operators on spaces of analytic functions, Studies in Advanced Mathematics, CRC Press, Boca Raton, 1995

2.
F. Perez-Gonzalez and J. Xiao, Bloch-hardy pullbacks, Acta. Sci. Math.(Szeged) 67 (2001), 709-718

3.
W. Rudin, Function theory in polydiscs, New York, W. A. Benjamin, 1969

4.
J. H. Shi and L. Luo, Composition operators on the Bloch space of several complex variable, Acta. Math. Sinica, English series, 16(2000), 85-98 crossref(new window)

5.
Z. H. Zhou and J. H. Shi, Composition operators on the Bloch space in polydiscs, Complex Var. Theory Appl. 46 (2001), no. 1, 73-88 crossref(new window)

6.
Z. H. Zhou and J. H. Shi, Compact composition operators on the Bloch space in polydisk, Sci. China Ser. A 31 (2001), no. 2, 111-116

7.
Z. H. Zhou and S. B. Zeng, Composition operators on the Lipschitz space in polydisc, Sci. China Ser. A 32 (2002), no. 5, 385-389

8.
K. Zhu, Operator theory on function spaces, Marcel Dekker, New York and Basel, 1990