On Composition Operators on HP-Spaces in Several Variables.

Authors
Guangfu, Cao Shunhua, Sun
Citation
Guangfu, Cao et Shunhua, Sun, On Composition Operators on HP-Spaces in Several Variables., Acta Mathematica Sinica, New Series Chinese Journal of Mathematics, 13(2), 1997, pp. 281-288
Journal title
Acta Mathematica Sinica, New Series Chinese Journal of Mathematics → ACNP
ISSN journal
10009574
Volume
13
Issue
2
Year of publication
1997
Pages
281 - 288
Database
ACNP
SICI code
Abstract
In this paper, we prove that a composition operator on HP(B) is Fredholm if and only if it is invertible if and only if its symbol is an automorphism on B, and give the representation of the spectra of a class of composition operators. In addition, using composition operator, we discuss intertwining Toeplitz operators.