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2018 | Vol. 38, no. 6 | 829--839
Tytuł artykułu

Essential norm of an integral-type operator from ω-Bloch spaces to μ-Zygmund spaces on the unit ball

Autorzy
Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this paper, we give an estimate for the essential norm of an integral-type operator from ω-Bloch spaces to μ-Zygmund spaces on the unit ball.
Wydawca

Rocznik
Strony
829--839
Opis fizyczny
Bibliogr. 38 poz.
Twórcy
autor
  • Faculty of Information Technology Macau University of Science and Technology Avenida Wai Long, Taipa, Macau, jtdu007@163.com
autor
  • School of Computer Engineering Zhongshan Institute University of Electronic Science and Technology ol China 528402, Zhongshan, Guangdong, P. R. China, jyuzxl@163.com
Bibliografia
  • [1] D. Chang, S. Li, S. Stevic, On some integral operators on the unit polydisk and the unit ball, Taiwanese J. Math. 11 (2007), 1251-1286.
  • [2] J. Du, S. Li, Weighted composition operators from Zygmund type spaces to Bloch type spaces, Math. Inequal. Appl. 20 (2017), 247-262.
  • [3] Z. Hu, Extended Cesaro operators on mixed norm spaces, Proc. Amer. Math. Soc. 131 (2003), 2171-2179.
  • [4] Z. Hu, Extended Cesaro operators on the Bloch space in the unit ball of Cn, Acta Math. Sci. Ser. B Engl. Ed. 23 (2003), 561-566.
  • [5] Z. Hu, Extended Cesaro operators on Bergman spaces, J. Math. Anal. Appl. 296 (2004), 435-454.
  • [6] Z. Hu, Composition operators between Bloch-type spaces in the polydisc, Sci. China 48A (supp) (2005), 268-282.
  • [7] S. Krantz, S. Stevic, On the iterated logarithmic Bloch space on the unit ball, Nonlinear Anal. TMA, 71 (2009), 1772-1795.
  • [8] S. Li, Riemann-Stieltjes operators from F(p, q, s) to Bloch space on the unit ball, J. Inequal. Appl., vol. 2006, Article ID 27874, (2006), 14 pp.
  • [9] S. Li, S. Stevic, Riemann-Stieltjes type integral operators on the unit ball in Cn, Complex Var. Elliptic Equ. 52 (2007), 495-517.
  • [10] S. Li, S. Stevic, Riemann-Stieltjes operators on Hardy spaces in the unit ball of Cn, Bull. Belg. Math. Soc. Simon Stevin 14 (2007), 621-628.
  • [11] S. Li, S. Stevic, Volterra type operators on Zygmund space, J. Inequal. Appl., vol. 2007, Article ID 32124, (2007), 10 pp.
  • [12] S. Li, S. Stevic, Riemann-Stieltjes operators on weighted Bergman spaces in the unit ball ofCn, Bull. Belg. Math. Soc. Simon Stevin 15 (2008), 677-686.
  • [13] S. Li, S. Stevic, Compactness of Riemann-Stieltjes operators between F(p, q, s) and a-Bloch spaces, Publ. Math. Debrecen, 72/1-2 (2008), 111-128.
  • [14] S. Li, S. Stevic, Products of Volterra type operator and composition operator from H°° and Bloch spaces to the Zygmund space, J. Math. Anal. Appl. 345 (2008), 40-52.
  • [15] S. Li, S. Stevic, Weighted composition operators from Zygmund spaces into Bloch spaces, Appl. Math. Comput. 206 (2008) 2, 825-831.
  • [16] S. Li, S. Stevic, Gesaro-type operators on some spaces of analytic functions on the unit ball, Appl. Math. Comput. 208 (2009), 378-388.
  • [17] S. Li, S. Stevic, On an integral-type opreator from u-Bloch spaces to /i-Zygmund spaces, Appl. Math. Comput. 215 (2010), 4385-4391.
  • [18] S. Li, S. Stevic, Products of composition and differentiation operators from, Zygmund spaces to Bloch spaces and Bers spaces, Appl. Math. Comput. 217 (2010), 3144-3154.
  • [19] A. Shields, D. Williams, Bounded projections, duality, and multipliers in spaces of analytic functions, Trans. Amer. Math. Soc. 162 (1971), 287-302.
  • [20] S. Stevic, On a new operator from, H°° to the Bloch-type space on the unit ball, Util. Math. 77 (2008), 257-263.
  • [21] S. Stevic, On a new integral-type operator from the weighted Bergman space to the Bloch-type space on the unit ball, Discrete Dyn. Nat. Soc, vol. 2008, Article ID 154263, (2008), 14 pp.
  • [22] S. Stevic, On a new operator from the logarithmic Bloch space to the Bloch-type space on the unit ball, Appl. Math. Comput. 206 (2008), 313-320.
  • [23] S. Stevic, 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.
  • [24] S. Stevic, On an integral operator from the Zygmund space to the Bloch-type space on the unit ball, Glasg. J. Math. 51 (2009), 275-287.
  • [25] S. Stevic, On an integral-type operator from, logarithmic Bloch-type and mixed-norm spaces to Bloch-type spaces, Nonlinear Anal. TMA 71 (2009), 6323-6342.
  • [26] S. Stevic, Integral-type operators between a-Bloch spaces and Besov spaces on the unit ball, Appl. Math. Comput. 216 (2010), 3541-3549.
  • [27] S. Stevic, On an integral-type operator from Zygmund-type spaces to mixed-norm spaces on the unit ball, Abstr. Appl. Anal., vol. 2010, Article ID 198608, (2010), 40-52.
  • [28] S. Stevic, On operator Pfp from, the logarithmic Bloch-type space to the mixed-norm space on unit ball, Appl. Math. Comput. 215 (2010), 4248-4255.
  • [29] S. Stevic, Weighted differentiation composition operators from H°° and Bloch, spaces to nth weigthed-type spaces on the unit disk, Appl. Math. Comput. 216 (2010), 3634-3641.
  • [30] S. Stevic, Weighted differentiation composition operators from the mixed-norm space to the nth weigthed-type space on the unit disk, Abstr. Appl. Anal., vol. 2010, Article ID 246287, (2010), 15 pp.
  • [31] S. Stevic, S. Ueki, On an integral-type operator between weighted-type spaces and Bloch-type spaces on the unit ball, Appl. Math. Comput. 217 (2010), 3127-3136.
  • [32] X. Tang, Extended Cesaro operators between Bloch-type spaces in the unit ball ofCn, J. Math. Anal. Appl. 326 (2007), 1199-1211.
  • [33] M. Tjani, Compact composition operators on some Mobius invariant Banach spaces, PhD Dissertation, Michigan State University, 1996.
  • [34] J. Xiao, Riemann-Stieltjes operators on weighted Bloch and Bergman spaces of the unit ball, J. London. Math. Soc. 70 (2004), 199-214.
  • [35] X. Zhang, J. Xiao, Weighted composition operators between fi-Bloch spaces on the unit ball, Sci. China 48 (2005), 1349-1368.
  • [36] K. Zhu, Spaces of Holomorphic Functions in the Unit Ball, Springer, New York, 2005.
  • [37] X. Zhu, Generalized composition operators and Volterra composition operators on Bloch spaces in the unit ball, Complex Var. Elliptic Equ. 54 (2009), 95-102.
  • [38] X. Zhu, Volterra composition operators on logarithmic Bloch spaces, Banach J. Math. Anal. 3 (2009), 122-130.
Uwagi
PL
Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).
Typ dokumentu
Bibliografia
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