Composition followed by differentiation between weighted Bergman spaces and weighted Banach spaces of holomorphic functions

[1] J. M. Anderson, J. Duncan, Duals of Banach spaces of entire functions, Glasgow Math. J. 32 (1990), 215-220.10.1017/S0017089500009241Search in Google Scholar

[2] K. D. Bierstedt, J. Bonet, A. Galbis, Weighted spaces of holomorphic functions on balanced domains, Michigan Math. J. 40 (2), 271-297.10.1307/mmj/1029004753Search in Google Scholar

[3] K. D. Bierstedt, J. Bonet, J. Taskinen, Associated weights and spaces of holomorphic functions, Studia Math. 127 (2) (1998), 137-168.10.4064/sm-127-2-137-168Search in Google Scholar

[4] K. D. Bierstedt, R. Meise, W. H. Summers, A projective description of weighted inductive limits, Trans. Am. Math. Soc. 272 (1) (1982), 107-160.10.1090/S0002-9947-1982-0656483-9Search in Google Scholar

[5] K. D. Bierstedt, W. H. Summers, Biduals of weighted Banach spaces of holomorphic functions, J. Austral. Math. Soc. Ser. A. 54 (1993), 70-79.10.1017/S1446788700036983Search in Google Scholar

[6] C. Cowen, B. MacCluer, Composition operators on spaces of analytic functions, CRC Press, Boca Raton, 1995.Search in Google Scholar

[7] Z. ČuČković, R. Zhao, Weighted composition operators on the Bergman space, J. London Math. Soc. (2) 70 (2004), 499-511.10.1112/S0024610704005605Search in Google Scholar

[8] T. Domenig, Order bounded and p-summing composition operators, Studies on Composition Operators, Contemp. Math. 213, Amer. Math. Soc. Providence, RI, (1998), 27-41.10.1090/conm/213/02847Search in Google Scholar

[9] P. Duren, A. Schuster, Bergman spaces, Mathematical Surveys and Monographs 100, Amer. Math. Soc, Providence, RI, (2004).10.1090/surv/100Search in Google Scholar

[10] R. Hibschweiler, Order bounded weighted composition operators, Banach spaces of analytic functions, Contemp. Math. 454, Amer. Math. Soc. Providence RI, (2008), 93-105.10.1090/conm/454/08829Search in Google Scholar

[11] H. Hunziker, Kompositionsoperatoren auf klassischen Hardyr¨aumen, Dissertation, Universit¨at Z¨urich, 1989.Search in Google Scholar

[12] W. Lusky, On the structure of Hv0(D) and hv0(D), Math. Nachr. 159 (1992), 279-289.10.1002/mana.19921590119Search in Google Scholar

[13] J. H. Shapiro, Composition operators and classical function theory, Springer, New York, Berlin, 1993.10.1007/978-1-4612-0887-7Search in Google Scholar

[14] A. L. Shields, D. L. Williams, Bounded porjections, duality and multipliers in spaces of harmonic functions, J. Reine Angew. Math. 299/300 (1978), 256-279.10.1515/crll.1978.299-300.256Search in Google Scholar

[15] E. Wolf, Weighted composition operators between weighted Bergman spaces, RACSAM Rev. R. Acad. Cienc. Exactas Fis. nat. Ser. A. Mat. 103 (1) (2009), 11-15.10.1007/BF03191830Search in Google Scholar

[16] E. Wolf, Bounded, compact and Schatten class weighted composition operators between weighted Bergman spaces, preprint.Search in Google Scholar

[17] E. Wolf, Differences of composition operators between weighted Bergman spaces and weighted Banach spaces of holomorphic functions, Glasgow Math. J. 52 (2) (2010), 325-332. 10.1017/S0017089510000029Search in Google Scholar