Composition operators mapping into the qp spaces

Analysis (Germany)

Volumn 17, Issue 2-3, 1997, Pages 239-264

  Smith, Wayne ^a   Zhao, Ruhan ^b  

^a UNIVERSITY OF HAWAII   (United States)

^b UNIVERSITY OF EASTERN FINLAND   (Finland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000447732     PISSN: 01744747     EISSN: 21966753     Source Type: Journal    
DOI: 10.1524/anly.1997.17.23.239     Document Type: Article

References (18)

1. Ahlfors, L.V., Conformai Invariants, McGraw-Hill, New York, 1973.
2. Anderson, J.M., Clunie, J.G. and Pommerenke, Ch., On Bloch functions and normal functions, J. Reine Angew. Math. 270 (1974), 12–37.
3. Arazy, J., Fisher, S.D. and Peetre, J., Mobius invariant function spaces, J. Reine Angew. Math. 363 (1985), 110–145.
4. Aulaskari, R. and Lappan, P., Criteria for an analytic function to be Block and a harmonic or meromorphic function to be normal, Complex analysis and its applications, Pitman Research Notes in Mathematics, vol. 305, Longman Scientific & Technical, Harlow, 1994, pp. 136–146.
5. Aulaskari, R., Lappan, P., Xiao, J. and Zhao, R., On a-Bloch spaces and multipliers of Dirichlet spaces, J. Math. Anal. Appl, (to appear).
6. Aulaskari, R., Stegenga, D. and Xiao, J., Some subclasses of BMOA and their characterization in terms of Carleson measures, Rocky Mountain J. Math. 26 (1996), 485–506.
7. Aulaskari, R., Xiao, J. and Zhao, R., On subspaces and subsets of BMOA and UBC, Analysis 15 (1995), 101–121.
8. Baernstein, A., Analysis of functions of bounded mean oscillation, Aspects of contemporary complex analysis, Academic Press, New York, 1980, pp. 3–36.
9. Jarchow, H. and Riedl, R., Factorization of composition operators through Bloch type spaces, Illinois J. Math. 39 (1995), 431–440.
10. MacCluer, B.D. and Shapiro, J.H., Angular derivatives and compact composition operators on the Hardy and Bergman spaces, Canad. J. Math. 38 (1986), 878–906.
11. Luecking, D.H., Forward and reverse Carleson inequalities for functions in Bergman spaces and their derivatives, Amer. J. Math. 107 (1985), 85–111.
12. Madigan, K. and Matheson, A., Compact composition operators on the Bloch space, TVans. Amer. Math. Soc. 347 (1995), 2679–2687.
13. Shapiro, J.H., The essential norm of a composition operator, Annals of Math. 127 (1987), 375–404.
14. Shapiro, J.H., Composition Operators and Classical Function Theory, Springer-Verlag, New York Berlin, 1993.
15. Ramey, W. and Ullrich, D., Bounded mean oscillation of Bloch pull-backs, Math. Ann. 291 (1991), 591–606.
16. Yamashita, S., Hyperbolic Hardy classes and hyperbolically Dirichlet-finite functions, Hokkaido Math. J. 10 (1981 Sp), 709–722.
17. Yamashita, S., Hyperbolic Hardy class H1, Math. Scand. 45 (1979), 261–266.
18. Yamashita, S., Gap aeries and a-Bloch functions, Yokohama Math. J. 28 (1980), 31–36.