Inner functions, bloch spaces and symmetric measures

Proceedings of the London Mathematical Society

Volumn 79, Issue 2, 1999, Pages 318-352

  Aleksandrov, A B ^a   Anderson, J M ^b   Nicolau, A ^c  

^a STEKLOV MATHEMATICAL INSTITUTE   (Russian Federation)

^b UNIVERSITY COLLEGE LONDON   (United Kingdom)

^c UNIVERSITAT AUTÒNOMA DE BARCELONA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000578867     PISSN: 00246115     EISSN: None     Source Type: Journal    
DOI: 10.1112/S002461159901196X     Document Type: Article

References (19)

1. A. B. ALEKSANDROV, 'Multiplicity of boundary values of inner functions', Izv. Akad. Nauk Arm. SSR 22 (1987) 490-503 (Russian).
2. A. F. BEARDON and CH. POMMERENKE, 'The Poincaré metric of plane domains', J. London Math. Soc. (2) 18 (1978) 475-483.
3. C. J. BISHOP, 'Bounded functions in the little Bloch space'. Pacific J. Math. 142 (1990) 209-225.
4. A. CANTON, 'Singular measures and the little Bloch space', Publ. Mat. 42 (1998) 211-222.
5. L. CARLESON, 'On mappings, conformal at the boundary', J. Anal. Math. 19 (1967) 1-13.
6. P. L. DUREN, 'Smoothness of functions generated by Riesz products', Proc. Amer. Math. Soc. 16 (1965) 1263-1268.
7. J. L. FERNÁNDEZ and A. NICOLAU, 'Boundary behaviour of inner functions and holomorphic functions', Math. Ann. 310 (1998) 423-445.
8. F. P. GARDINER and D. P. SULLIVAN, 'Symmetric structures on a closed curve', Amer. J. Math. 114 (1992) 683-736.
9. J. B. GARNETT, Bounded analytic functions (Academic Press, New York, 1981).
10. J. GARNETT and M. PAPADIMITRAKIS, 'Almost isometric maps of the hyperbolic plane', J. London Math. Soc. (2) 43 (1991) 269-282.
11. V. HAVIN and B. JÖRICKE, The uncertainty principle in harmonic analysis (Springer, Berlin, 1994).
12. G. HUNGERFORD, 'Boundary of smooth sets and singular sets of Blaschke products in the little Bloch class', thesis, California Institute of Technology, 1988.
13. J. P. KAHANE, 'Trois notes sur les ensembles parfait linéares', Enseign. Math. 15 (1969) 185-192.
14. K. MADIGAN and A. MATHESON, 'Compact composition operators on the Bloch space', Trans. Amer. Math. Soc. 347 (1995) 2679-2687.
15. N. G. MAKAROV, 'Probability methods in the theory of conformal mappings', Leningrad Math. J. 1 (1990) 1-56.
16. A. PEYRIERE, 'Études de quelques propriétés des produits de Riesz', Ann. Inst. Fourier 25 (1975) 127-169.
17. G. PIRANIAN, 'Two monotonic, singular, uniformly almost smooth functions', Duke Math. J. 33 (1966) 255-262.
18. C. POMMERENKE, Boundary behaviour of conformal mappings (Springer, Berlin, 1994).
19. W. SMITH, 'Inner functions in the hyperbolic little Bloch class', Michigan Math. J. 45 (1998) 103-114.