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Generalized integration operators from Bloch type spaces to weighted BMOA spaces

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Języki publikacji
EN
Abstrakty
EN
In this paper, we consider a generalized integration operator (…) induced by holomorphic maps g and φ of the open unit disk D, where φ(D) ⊂ D and n is a positive integer. We characterize boundedness and compactness of (…) from Bloch type spaces to weighted BMOA spaces by using logarithmic Carleson measure characterization of the weighted BMOA spaces.
Wydawca
Rocznik
Strony
373--390
Opis fizyczny
Bibliogr. 29 poz.
Twórcy
autor
  • Department of Mathematics, University of Jammu, Jammu-180006, India
autor
  • Department of Mathematics, University of Jammu, Jammu-180006, India
Bibliografia
  • [1] A. Aleman, J. A. Cima, An integral operator on Hp and Hardy inequality, J. Anal. Math. 85 (2001), 157–176.
  • [2] A. Aleman, A. G. Siskakis, An integral operator on Hp, Complex Var. Theory Appl. 28 (1995), 149–158.
  • [3] A. Aleman, A. G. Siskakis, Integration operators on Bergman spaces, Indiana Univ. Math. J. 46 (1997), 337–356.
  • [4] J. Arazy, S. D. Fisher, J. Peetre, Möbius invariant function space, J. Reine Angew. Math. 363 (1985), 110–145.
  • [5] C. C. Cowen , B. D. MacCluer, Composition Operators on Spaces of Analytic Functions, CRC Press Boca Raton, New York, 1995.
  • [6] R. A. Hibschweiler, N. Portnoy, Composition followed by differentiation between Bergman and Hardy spaces, Rocky Mountain J. Math. 35 (2005), 843–855.
  • [7] W. Hornor, J. E. Jamison, Isometries of some Banach spaces of analytic functions, Integral Equation Operator Theory 41 (2001), 410–425.
  • [8] B.D. MacCluer, R.H. Zhao, Vanishing logarithmic Carleson measure, Illinois J. Math. 46 (2002), 507–518.
  • [9] S. Ohno, Products of composition and differentiation between Hardy spaces, Bull. Austral. Math. Soc. 73 (2006), 235–243.
  • [10] F. Perez-Gonzalez, J. Rattya, Forelli-Rudin estimates, Carleson measures and F (p, q, s)-functions, J. Math. Anal. Appl. 315 (2006), 394–414.
  • [11] Ch. Pommerenke, Schlichte Funktionen und analytische Funktionen von beschrankter mittlerer Oszillation, Comment. Math. Helv. 52 (1977), 591–602.
  • [12] W. Ramey, D. Ullrich, Bounded mean oscillation of Bloch Pullbacks, Mathematische Annalen. 211 (1999), 591–600.
  • [13] J. Rättyä, Integration operator acting on Hardy and weighted Bergman spaces, Bull. Austral. Math. Soc. 75 (2007), 431–446.
  • [14] J. H. Shapiro, Composition Operators and Classical Function Theory, Springer, New York, 1993.
  • [15] A. K. Sharma, Volterra composition operators between Bergman-Nevanlinna and Bloch-type spaces, Demonstratio Math. 42 (2009), 607–618.
  • [16] A. Sharma, A. K. Sharma, Carleson measures and a class of generalized integration operators on the Bergman space, Rocky Mountain J. Math. (to appear).
  • [17] A. K. Sharma, S. D. Sharma, Riemann-Stieltjes operators between Bloch and weighted Bergman spaces, Int. J. Contemp. Math. Sci. 2 (16) (2007), 759–772.
  • [18] A. G. Siskakis, R. Zhao, A Volterra type operator on spaces of analytic functions, Contemp. Math. 232 (1999), 299–311.
  • [19] W. Smith, R. H. Zhao, Composition operators mapping into Qp space, Analysis. 17 (1997), 239–262.
  • [20] P. Wojtaszczyk, Banach Space for Analysis, Cambridge, Cambridge University Press, (1991).
  • [21] J. Xiao, Cesaro operators on Hardy, BMOA and Bloch spaces, Arch. Math. 68 (1997), 398–406.
  • [22] J. Xiao, Riemann-Stieltjes operators on weighted Bloch and Bergman spaces of the unit ball, J. London Math. Soc. 70 (2004), 199–214.
  • [23] S. Yamashita, Gap series and α-Bloch functions, Yokohama Math. J. 28 (1980), 31–36.
  • [24] R. Yoneda, Pointwise multipliers from BMOAα to BMOAβ, Complex VAr. Theory Appl. 49 (2004), 1045–1061.
  • [25] R. H. Zhao, Composition operators from Bloch type spaces to Hardy and Besov spaces, J. Math. Anal. Appl. 233 (1999), 749–766.
  • [26] R. H. Zhao, On logarithmic Carleson measure, Acta Sci. Math. (Szeged) 69 (2003), 605–618.
  • [27] K. Zhu, Bloch type space of analytic functions, Rocky Mountain J. Math. 23 (1993), 1143–1177.
  • [28] X. Zhu, Products of differentiation, composition and multiplication from Bergman type spaces to Bers type space, Integ. Tran. Spec. Function. 18 (2007), 223–231.
  • [29] A. Zygmund, Trigonometric Series, Cambridge Univ. Press, London, 1959.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-1e930894-ee01-4493-827f-76261a49d42c
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