Tohoku Mathematical Journal
2005
March
SECOND SERIES VOL. 57, NO. 1

Tohoku Math. J.
57 (2005), 11-22

Title COMPOSITION AND TOEPLITZ OPERATORS ON GENERAL DOMAINS

Author Guangfu Cao

(Received November 26, 2002, revised July 26, 2004)
Abstract. Characterizations of invertible and Fredholm composition operators are obtained for Bergman spaces on connected domains in the complex plane. In addition, the isomorphism between Toeplitz algebras and their K-theory are discussed.

2000 Mathematics Subject Classification. Primary 47B33; Secondary 19K99, 46L80.
Key words and phrases. Composition operator, Toeplitz operator, essential boundary.

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