Boundedness and compactness of weighted composition operators between weighted Bergman spaces

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1. Bonet, J., Domański, P. and Lindström, M., Essential norm and weak compactness of composition operators on weighted Banach spaces of analytic functions, Canad. Math. Bull. 42 (1999), no. 2, 139-148. Zbl0939.47020
2. Bonet, J., Domański, P., Lindström, M. and Taskinen, J., Composition operators between weighted Banach spaces of analytic functions, J. Austral. Math. Soc. Ser. A 64 (1998), no. 1, 101-118. Zbl0912.47014
3. Bonet, J., Friz, M. and Jordá, E., Composition operators between weighted inductive limits of spaces of holomorphic functions, Publ. Math. Debrecen 67 (2005), no. 3-4, 333-348. Zbl1097.46013
4. Contreras, M. D., Hernández-Díaz, A. G., Weighted composition operators in weighted Banach spaces of analytic functions, J. Austral. Math. Soc. Ser. A 69 (2000), no. 1, 41-60. Zbl0990.47018
5. Cowen, C., MacCluer, B., Composition Operators on Spaces of Analytic Functions, Studies in Advanced Mathematics, CRC Press, Boca Raton, FL, 1995. Zbl0873.47017
6. Cučković, Z., Zhao, R., Weighted composition operators on the Bergman space, J. London Math. Soc. (2) 70 (2004), no. 2, 499-511. Zbl1069.47023
7. Duren, P., Schuster, A., Bergman Spaces, Mathematical Surveys and Monographs, 100, American Mathematical Society, Providence, RI, 2004. 
8. Hastings, W., A Carleson measure theorem for Bergman spaces, Proc. Amer. Math. Soc. 52 (1975), 237-241. Zbl0296.31009
9. Hedenmalm, H., Korenblum, B. and Zhu, K., Theory of Bergman spaces, Graduate Texts in Mathematics, 199, Springer-Verlag, New York, 2000. Zbl0955.32003
10. Kriete, T., MacCluer, B., Composition operators on large weighted Bergman spaces, Indiana Univ. Math. J. 41 (1992), no. 3, 755-788. Zbl0772.30043
11. Moorhouse, J., Compact differences of composition operators, J. Funct. Anal. 219 (2005), no. 1, 70-92. Zbl1087.47032
12. MacCluer, B., Ohno, S. and Zhao, R., Topological structure of the space of composition operators on H∞, Integral Equations Operator Theory 40 (2001), no. 4, 481-494. Zbl1062.47511
13. Nieminen, P., Compact differences of composition operators on Bloch and Lipschitz spaces, Comput. Methods Funct. Theory 7 (2007), no. 2, 325-344. Zbl1146.47016
14. Palmberg, N., Weighted composition operators with closed range, Bull. Austral. Math. Soc. 75 (2007), no. 3, 331-354. Zbl1123.47028
15. Shapiro, J. H., Composition Operators and Classical Function Theory, Universitext: Tracts in Mathematics. Springer-Verlag, New York, 1993. 
16. Wolf, E., Weighted composition operators between weighted Bergman spaces, Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Math. RACSAM 103 (2009), no. 1, 11-15. Zbl1197.47041