We study properties of the differences of weighted composition
operators on the disk algebra and will see the equivalence of the compactness,
the weak compactness and the complete continuity of them.
Moreover, we characterize
the differences of weighted composition
operators acting from the space of bounded analytic functions
to the disk algebra.
Publié le : 2010-02-15
Classification:
weighted composition operator,
disk algebra,
Banach algebra of bounded analytic functions,
47B38,
47B33
@article{1267798501,
author = {Ohno, Sh\^uichi},
title = {Differences of Weighted Composition Operators on the Disk Algebra},
journal = {Bull. Belg. Math. Soc. Simon Stevin},
volume = {17},
number = {1},
year = {2010},
pages = { 101-107},
language = {en},
url = {http://dml.mathdoc.fr/item/1267798501}
}
Ohno, Shûichi. Differences of Weighted Composition Operators on the Disk Algebra. Bull. Belg. Math. Soc. Simon Stevin, Tome 17 (2010) no. 1, pp. 101-107. http://gdmltest.u-ga.fr/item/1267798501/