Equivalent characterizations of Bloch functions

• Autorzy: Zhangjian Hu
• Języki publikacji: EN

Abstrakty

EN

In this paper we obtain some equivalent characterizations of Bloch functions on general bounded strongly pseudoconvex domains with smooth boundary, which extends the known results in [1, 9, 10].

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1994
• Tom: 67
• Numer: 1
• Strony: 99-108

Daty

wydano

1994

otrzymano

1993-06-16

poprawiono

1993-10-15

Twórcy

autor

Zhangjian Hu

• Department of Mathematics, Huzhou Teachers College, Huzhou, Zhejiang, 313000, P.R. China

Bibliografia

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• [3] S. G. Krantz, Function Theory of Several Complex Variables, Wiley, New York, 1982.
• [4] S. G. Krantz and D. Ma, The Bloch functions on strongly pseudoconvex domains, Indiana Univ. Math. J. 37 (1988), 145-165.
• [5] H. Li, BMO, VMO and Hankel operators on the Bergman space of strongly pseudoconvex domains, J. Funct. Anal. 106 (1992), 375-408.
• [6] H. Li, Hankel operators on the Bergman space of strongly pseudoconvex domains, preprint.
• [7] W. Rudin, Function Theory in the Unit Ball of $ℂ^n$, Springer, New York, 1980.
• [8] E. M. Stein, Boundary Behavior of Holomorphic Functions of Several Complex Variables, Princeton University Press, Princeton, N.J., 1972.
• [9] K. Stroethoff, Besov-type characterisations for the Bloch space, Bull. Austral. Math. Soc. 39 (1989), 405-420.
• [10] J. Zhang, Some characterizations of Bloch functions on strongly pseudoconvex domains, Colloq. Math. 63 (1992), 219-232.