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Weighted composition operators from weighted hardy spaces to weighted-type spaces

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EN
The boundedness and compactness of the weighted composition operator from weighted Hardy spaces to weighted-type spaces are studied in this paper.
Wydawca
Rocznik
Strony
335--344
Opis fizyczny
Bibliogr. 24 poz.
Twórcy
autor
  • Department of Mathematics, Jiaying University, 514015, Meizhou, Guangdong, China
Bibliografia
  • [1] J. Bonet, P. Domański, M. Lindström, J. Taskinen, Composition operators between weighted Banach spaces of analytic functions, J. Austral. Math. Soc. (Ser. A) 64 (1998), 101–118.
  • [2] C. C. Cowen, B. D. MacCluer, Composition Operators on Spaces of Analytic Functions, Studies in Advanced Math., CRC Press, Boca Raton, 1995.
  • [3] P. Galindo, M. Lindström, Essential norm of operators on weighted Bergman spaces of infinite order, J. Operator Theory 64 (2010), 387–399.
  • [4] P. Galindo, M. Lindström, S. Stević, Essential norm of operators into weighted-type spaces on the unit ball, Abstr. Appl. Anal., Vol. 2011, Article ID 939873, (2011), 13 pp.
  • [5] D. Gu, Weighted composition operators from generalized weighted Bergman spaces to weighted-type space, J. Inequal. Appl., Vol. 2008, Article ID 619525, (2008), 14 pp.
  • [6] W. He, L. Jiang, Composition operator on Bers-type spaces, Acta Math. Sci. 22B(3) (2002), 404–412.
  • [7] S. Li, S. Stević, Weighted composition operators from α-Bloch space to H∞ on the polydisk, Numer. Funct. Anal. Opt. 28(7) (2007), 911–925.
  • [8] S. Li, S. Stević, Weighted composition operators between H∞ and α-Bloch spaces in the unit ball, Taiwanese J. Math. 12(7) (2008), 1625–1639.
  • [9] A. Montes-Rodríguez, Weighted composition operators on weighted Banach spaces of analytic functions, J. London Math. Soc. 61(3) (2000), 872–884.
  • [10] M. Wang, Y. Liu, Weighted composition operator between Bers-type spaces, Acta Math. Sci. 27A (2007), 665–671.
  • [11] A. L. Shields, D. L. Williams, Bounded projections, duality, and multipliers in spaces of analytic functions, Trans. Amer. Math. Soc. 162 (1971), 287–302.
  • [12] S. Stević, Weighted composition operators between mixed norm spaces and H∞α spaces in the unit ball, J. Inequal. Appl., Vol 2007, Article ID 28629, (2007), 9 pp.
  • [13] S. Stević, Norm of weighted composition operators from Bloch space to H∞μ on the unit ball, Ars Combin. 88 (2008), 125–127.
  • [14] S. Stević, Norms of some operators from Bergman spaces to weighted and Bloch-type space, Utilitas Math. 76 (2008), 59–64.
  • [15] S. Stević, Norm of weighted composition operators from α-Bloch spaces to weighted-type spaces, Appl. Math. Comput. 215 (2009), 818–820.
  • [16] S. Stević, On a new integral-type operator from the Bloch space to Bloch-type spaces on the unit ball, J. Math. Anal. Appl. 354 (2009), 426–434
  • [17] S. Stević, Norms of some operators on the Bergman and the Hardy space in the unit polydisk and the unit ball, Appl. Math. Comput. 215 (2009), 2199–2205.
  • [18] S. Stević, Norms of multiplication operators on Hardy spaces and weighted composition operators from Hardy spaces to weighted-type spaces on bounded symmetric domains, Appl. Math. Comput. 217 (2010), 2870–2876.
  • [19] S. Stević, Norms of some operators on bounded symmetric domains, Appl. Math. Comput. 216 (2010), 187–191.
  • [20] S. Stević, Norm of an integral-type operator from Dirichlet to Bloch space on the unit disk, Utilitas Math. 83 (2010), 301–303.
  • [21] S. Stević, Norm and essential norm of an integral-type operator from the Dirichlet space to the Bloch-type space on the unit ball, Abstr. Appl. Anal., Vol. 2010, Article ID 134969, (2010), 9 pp.
  • [22] S. Stević, E. Wolf, Differences of composition operators between weighted-type spaces of holomorphic functions on the unit ball of Cn, Appl. Math. Comput. 215 (2009), 1752–1760.
  • [23] X. Zhu, Weighted composition operators from F(p, q, s) spaces to H∞μ spaces, Abstr. Appl. Anal., Vol. 2009, Article ID 290978, (2009), 12 pp.
  • [24] X. Zhu, D. Gu, Weighted composition operators on Bers-type space in the unit ball, Ars Combin., to appear.
Typ dokumentu
Bibliografia
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