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.
@article{1113234831,
author = {Cao, Guangfu},
title = {Composition and Toeplitz operators on general domains},
journal = {Tohoku Math. J. (2)},
volume = {57},
number = {1},
year = {2005},
pages = { 11-22},
language = {en},
url = {http://dml.mathdoc.fr/item/1113234831}
}
Cao, Guangfu. Composition and Toeplitz operators on general domains. Tohoku Math. J. (2), Tome 57 (2005) no. 1, pp. 11-22. http://gdmltest.u-ga.fr/item/1113234831/