Weighted composition operators from Bergman-type spaces into Bloch spaces

Proceedings of the Indian Academy of Sciences: Mathematical Sciences

Volumn 117, Issue 3, 2007, Pages 371-385

  Li, Songxiao ^a,b   Stević, Stevo ^c  

^a SHANTOU UNIVERSITY   (China)

^b Jia Ying University   (China)

^c MATHEMATICAL INSTITUTE   (Serbia)

Author keywords

Bergman type space; Bloch space; Weighted composition operator

Indexed keywords

CONFORMAL MAPPING; FUNCTION EVALUATION; LARGE SCALE SYSTEMS; MATHEMATICAL OPERATORS; NUMERICAL METHODS; PROBLEM SOLVING;

BERGMAN-TYPE SPACES; BLOCH SPACES; WEIGHTED COMPOSITION OPERATORS;

LINEAR ALGEBRA;

EID: 34548788935     PISSN: 02534142     EISSN: None     Source Type: Journal    
DOI: 10.1007/s12044-007-0032-y     Document Type: Article

References (15)

1. Cowen C C and MacCluer B D, Composition Operators on Spaces of Analytic Functions, Studies in Advanced Mathematics (Boca Raton: CRC Press) (1995)
2. Hu Z J, Extended Cesàro operators on mixed norm spaces, Proc. Am. Math. Soc. 131(7) (2003) 2171-2179
3. MacCluer B D and Zhao R, Essential norms of weighted composition operators between Bloch-type spaces, Rocky Mountain J. Math. 33(4) (2003) 1437-1458
4. Madigan K and Matheson A, Compact composition operators on the Bloch space, Trans. Am. Math. Soc. 347(7) (1995) 2679-2687
5. ∞ and the Bloch space, Taiwan. J. Math. 5(3) (2001) 555-563
6. Ohno S, Stroethoff K and Zhao R, Weighted composition operators between Bloch-type spaces, Rocky Mountain J. Math. 33 (2003) 191-215
7. Ohno S and Zhao R, Weighted composition operators on the Bloch space, Bull. Austral. Math. Soc. 63 (2001) 177-185
8. n (New York: Springer Verlag) (1980)
9. Shi J H and Luo L, Composition operators on the Bloch space, Acta Math. Sinica 16 (2000) 85-98
10. Shields A L and Williams D L, Bounded projections, duality, and multipliers in spaces of analytic functions, Trans. Am. Math. Soc. 162 (1971) 287-302
11. n, J. Inequal. Appl. 1 (2005) 81-88
12. Zhou Z H and Shi J H, Composition operators on the Bloch space in polydiscs, Complex Variables 46(1) (2001) 73-88
13. Zhou Z, Composition operators between p-Bloch space and q-Bloch space in the unit ball, Progress in Natural Sci. 13(3) (2003) 233-236
14. Zhu K, Operator Theory on Function Spaces, Marcel Dekker Inc. Pure and Applied Mathematics 139 (New York and Basel) (1990)
15. Zhu K, Spaces of Holomorphic Functions in the Unit Ball (New York: Springer) (2005)