Equivalent norms on Lipschitz-type spaces of holomorphic functions

Acta Mathematica

Volumn 178, Issue 2, 1997, Pages 143-167

  Dyakonov, Konstantin M ^a,b  

^a UNIVERSIDAD DE LA LAGUNA   (Spain)

^b SAINT PETERSBURG ELECTROTECHNICAL UNIVERSITY LETI   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001484911     PISSN: 00015962     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02392692     Document Type: Article

References (12)

1. DYAKONOV, K.M., Smooth functions and coinvariant subspaces of the shift operator. Algebra i Analiz, 4:5 (1992), 117-147; English translation in St. Petersburg Math. J., 4 (1993), 933-959.
2. DYAKONOV, K.M., Smooth functions and coinvariant subspaces of the shift operator. Algebra i Analiz, 4:5 (1992), 117-147; English translation in St. Petersburg Math. J., 4 (1993), 933-959.
3. _ Division and multiplication by inner functions and embedding theorems for star-invariant subspaces. Amer. J. Math., 115 (1993), 881-902.
4. _ The moduli of holomorphic functions in Lipschitz spaces. Michigan Math. J., 44 (1997), 139-147.
5. DYN'KIN, E. M., The pseudoanalytic extension. J. Anal. Math., 60 (1993), 45-70.
6. GARNETT, J. B., Bounded Analytic Functions. Academic Press, New York, 1981.
7. HAVIN, V. P., Generalization of the Privalov-Zygmund theorem on the modulus of continuity of the conjugate function. Izv. Akad. Nauk Armjan. SSR Ser. Mat., 6 (1971), 252-258 and 265-287 (Russian).
8. HAVIN, V. P. & SHAMOYAN, F. A., Analytic functions with Lipschitz moduli of the boundary values. Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI), 19 (1970), 237-239 (Russian).
9. p Spaces. Cambridge Univ. Press, Cambridge, 1980.
10. SHIROKOV, N. A., Ideals and factorization in algebras of analytic functions smooth up to the boundary. Trudy Mat. Inst. Steklov., 130 (1978), 196-222 (Russian).
11. _ Analytic Functions Smooth up to the Boundary. Lecture Notes in Math., 1312. Springer-Verlag, Berlin-New York, 1988.
12. TAMRAZOV, P. M., Contour and solid structural properties of hclomorphic functions of a complex variable. Uspekhi Mat. Nauk, 28:1 (1973), 131-161 (Russian).