Dynamics of differentiation operators on generalized weighted Bergman spaces

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2. [1] Bernal-González L., Disjoint hypercyclic operators, Studia Math., 2007, 182(2), 113-131. Zbl1134.47006
3. [2] Bonet J., Dynamics of differentiation operator on weighted spaces of entire functions, Math. Z., 2009, 261, 649-657. [WoS] Zbl1157.47006
4. [3] Bonet J., Bonilla A., Chaos of the differentiation operator on weighted Banach spaces of entire functions, Complex Anal. Oper. Theory, 2013, 7, 33-42. [WoS] Zbl06214910
5. [4] Bermúdez T., Bonilla A., Conejero J. A., Peris A., Hypercyclic, topologically mixing and chaotic semigroups on Banach spaces, Studia Math., 2005, 170, 57-75. Zbl1064.47006
6. [5] Bonilla A., Grosse-Erdmann K. G., Frequently hypercyclic operators and vectors, Ergodic Theory Dynam. Systems, 2007, 27, 383-404. Erratum: Ergodic Theory Dynam. Systems, 2009, 29, 1993-1994. Zbl1119.47011
7. [6] Bayart F., Matheron É., Dynamics of linear operators, Cambridge Tracts in Mathematics, 179, Camberidge University Press, Cambridge, 2009. Zbl1187.47001
8. [7] Bès J., Martin Ö., Peris A., Disjoint hypercyclic linear fractional composition operators, J. Math. Appl., 2011, 381, 843-856. Zbl1235.47012
9. [8] Bès J., Martin Ö., Peris A., Shkarin S., Disjoint mixing operators, J. Funct. Anal., 2012, 263, 1283-1322. Zbl1266.47013
10. [9] Bès J., Martin Ö., Sanders R., Weighted shifts and disjoint hypercyclicity, 2012, manuscript. [WoS] Zbl1318.47010
11. [10] Bès J., Peris A., Disjointness in hypercyclicity, J. Math. Anal. Appl., 2007, 336, 297-315. Zbl1129.47007
12. [11] Costakis G., Sambarino M., Topologically mixing hypercyclic operators, Proc. Amer. Math. Soc., 2004, 132(2), 385-389. Zbl1054.47006
13. [12] Chen R. Y., Zhou Z. H., Hypercyclicity of weighted composition operators on the unit ball of CN, J. Korean Math. Soc., 2011, 48(5), 969-984. Zbl1227.47012
14. [13] Grosse-Erdmann K. G., Peris Manguillot A., Linear Chaos, Springer, New York, 2011. 
15. [14] Harutyunyan A., Lusky W., On the boundedness of the differentiation operator between weighted spaces of holomorphic functions, Studia Math., 2008, 184, 233-247. Zbl1142.46013
16. [15] Lusky W., On generalized Bergman space, Studia Math., 1996, 119, 77-95. Zbl0857.46014
17. [16] Lusky W., On the Fourier series of unbounded harmonic functions, J. London. Math. Soc., 2000, 61, 568-580. Zbl0956.46019
18. [17] Salas H. N., Dual disjoint hypercyclic operators, J. Math. Anal. Appl., 2011, 374, 106-117. Zbl1210.47024
19. [18] Shkarin S., A short proof of existence of disjoint hypercyclic operators, J. Math. Anal. Appl., 2010, 367, 713-715. Zbl1196.47006