Composition operators on weighted Banach spaces of entire functions

References

• Cowen CC, MacCluer BD. Composition operators on spaces of analytic functions. Boca Raton, FL: CRC Press; 1995. (Studies in Advanced Mathematics).
   Google Scholar
• Shapiro JH. Composition operators and classical function theory. New York: Springer-Verlag; 1993.
   Google Scholar
• Bonet J, Domański P, Lindström M, Taskinen J. Composition operators between weighted Banach spaces of analytic functions. J Aust Math Soc (Series A). 1998;64:101–118. doi: 10.1017/S1446788700001336
   Web of Science ®Google Scholar
• Bonet J, Friz M, Jordá E. Composition operators between weighted inductive limits of spaces of holomorphic functions. Publ Math Debrecen. 2005;67:333–348.
   Web of Science ®Google Scholar
• Abanin AV, Khoi LH, Tien PT. Topological structure in the space of (weighted) composition operators on weighted Banach spaces of holomorphic functions. Bull Sci Math. doi: 10.1016/j.bulsci.2019.102806
   Web of Science ®Google Scholar
• Miralles A, Wolf E. Hypercyclic composition operators on Hv0-spaces. Math Nachr. 2012;286:34–41. doi: 10.1002/mana.201100191
   Google Scholar
• Wolf E. Power bounded composition operators. Comput Methods Funct Theory. 2012;12:105–117. doi: 10.1007/BF03321816
   Web of Science ®Google Scholar
• Bonet J, Mangino E. Associated weights for spaces of p-integrable entire functions. Quaest Math. doi: 10.2989/16073606.2019.1605420.
   Web of Science ®Google Scholar
• Carswell BJ, MacCluer BD, Schuster A. Composition operators on the Fock space. Acta Sci Math (Szeged). 2003;69:871–887.
   Google Scholar
• Le T. Normal and isometric weighted composition operators on the Fock space. Bull Lond Math Soc. 2014;46:847–856. doi: 10.1112/blms/bdu046
   Web of Science ®Google Scholar
• Mengestie T, Seyoum W. Topological and dynamical properties of composition operators. Complex Anal Oper Theory. 2020;14:27 pp. doi: 10.1007/s11785-019-00961-8
   Web of Science ®Google Scholar
• Seyoum W, Mengestie T, Bonet J. Mean ergodic composition operators on generalized Fock spaces. Rev R Acad Cienc Exactas Fs Nat Ser A Mat RACSAM. 2020;114:11 pp. doi: 10.1007/s13398-019-00754-w
   Web of Science ®Google Scholar
• Tien PT, Khoi LH. Weighted composition operators between different Fock spaces. Potential Anal. 2019;50:171–195. doi: 10.1007/s11118-017-9678-y
   Web of Science ®Google Scholar
• Abanin AV, Tien PT. Differentiation and integration operators on weighted Banach spaces of holomorphic functions. Math Nachr. 2017;290(8):1144–1162. doi: 10.1002/mana.201500405
   Web of Science ®Google Scholar
• Abanin AV, Tien PT. Compactness of classical operators on weighted Banach spaces of holomorphic functions. Collect Math. 2018;69:1–15. doi: 10.1007/s13348-016-0185-z
   Web of Science ®Google Scholar
• Bierstedt KD, Bonet J, Taskinen J. Associated weights and spaces of holomorphic functions. Studia Math. 1998;127:137–168.
   Web of Science ®Google Scholar
• Bierstedt KD, Bonet J, Galbis A. Weighted spaces of holomorphic functions on balanced domains. Michigan Math J. 1993;40:271–297. doi: 10.1307/mmj/1029004753
   Web of Science ®Google Scholar
• Tien PT. Translation operators on weighted spaces of entire functions. Proc Amer Math Soc. 2017;145:805–815. doi: 10.1090/proc/13254
   Web of Science ®Google Scholar
• Gallardo-Gutiérrez EA, González MJ, Nieminen PJ, Saksman E. On the connected component of compact composition operators on the Hardy space. Adv Math. 2008;219:986–1001. doi: 10.1016/j.aim.2008.06.005
   Web of Science ®Google Scholar
• Shapiro JH, Sundberg C. Isolation amongst the composition operators. Pacific J Math. 1990;145:117–152. doi: 10.2140/pjm.1990.145.117
   Web of Science ®Google Scholar
• Khoi LH, Thom LTH, Tien PT. Weighted composition operators between Fock spaces F∞(C) and Fp(C). Intern J Math. 2019;30:1950015 (16 pages). doi: 10.1142/S0129167X19500150
   Google Scholar
• Arendt W, Chalendar I, Kumar M, Srivastava S. Asymptotic behaviour of the powers of composition operators on Banach spaces of holomorphic functions. Indiana Univ Math J. 2018;67:1571–1595. doi: 10.1512/iumj.2018.67.7389
   Web of Science ®Google Scholar
• Beltrán-Meneu MJ, Gómez-Collado MC, Jordá E, Jornet D. Mean ergodic composition operators on Banach spaces of holomorphic functions. J Funct Anal. 2016;270:4369–4385. doi: 10.1016/j.jfa.2016.03.003
   Web of Science ®Google Scholar
• Colonna F, Martínez-Avendaño R. Hypercyclicity of composition operators on Banach spaces of analytic functions. Complex Anal Oper Theory. 2018;12:305–323. doi: 10.1007/s11785-017-0656-6
   Web of Science ®Google Scholar
• Petersen K. Ergodic theory. Cambridge: Cambridge University Press; 1983.
   Google Scholar
• Lotz HP. Uniform convergence of operators on L∞ and similar spaces. Math Z. 1985;190:207–220. doi: 10.1007/BF01160459
   Google Scholar
• Lusky W. On the isomorphism classes of weighted spaces of harmonic and holomorphic functions. Studia Math. 2006;175:19–45. doi: 10.4064/sm175-1-2
   Web of Science ®Google Scholar
• Lin M. On the uniform ergodic theorem. Proc Amer Math Soc. 1974;43:337–340. doi: 10.1090/S0002-9939-1974-0417821-6
   Web of Science ®Google Scholar
• Bayart F, Matheron E. Dynamics of linear operators. Cambridge: Cambridge University Press; 2009.
   Google Scholar
• Grosse-Erdmann K-G, Peris A. Linear chaos. London: Springer; 2011.
   Google Scholar