Weighted composition operators between bloch-type spaces

Rocky Mountain Journal of Mathematics

Volumn 33, Issue 1, 2003, Pages 191-215

  Ohno, Shûichi ^a   Stroethoff, Karel ^b   Zhao, Ruhan ^c  

^a NIPPON INSTITUTE OF TECHNOLOGY   (Japan)

^b UNIVERSITY OF MONTANA   (United States)

^c UNIVERSITY OF TOLEDO   (United States)

Author keywords

2 type; Lorentzian surfaces; Shape operators

Indexed keywords

EID: 0042831222     PISSN: 00357596     EISSN: None     Source Type: Journal    
DOI: 10.1216/rmjm/1181069993     Document Type: Article

References (12)

1. J. Arazy, Multipliers of Bloch functions, University of Haifa Publication Series 54, 1982.
2. L. Brown and A.L. Shields, Multipliers and cyclic vectors in the Bloch space, Michigan Math. J. 38 (1991), 141-146.
3. v spaces, Academic Press, New York, 1970.
4. G.H. Hardy and J.E. Littlewood, Some properties of fractional integrals II, Math. Z. 34 (1932), 403-439.
5. K.M. Madigan, Composition operators on analytic Lipschitz spaces, Proc. Amer. Math. Soc. 119 (1993), 465-473.
6. K.M. Madigan and A. Matheson, Compact composition operators on the Bloch space, Trans. Amer. Math. Soc. 347 (1995), 2679-2687.
7. S. Ohno and R. Zhao, Weighted composition operators on the Bloch space, Bull. Austral. Math. Soc., 63 (2001), 177-185.
8. R.C. Roan, Composition operators on a space of Lipschitz functions, Rocky Mountain J. Math. 10 (1980), 371-379.
9. J.H. Shapiro, Composition operators and classical function theory, Springer-Verlag, New York, 1993.
10. J. Xiao, Composition operators associated with Block-type spaces, Complex Variables Theory Appl. 46 (2001), 109-121.
11. K.H. Zhu, Operator theory on function spaces, Marcel Dekker, New York, 1990.
12. K.H. Zhu, Bloch type spaces of analytic functions, Rocky Mountain J. Math. 23 (1993), 1143-1177.