Representation of commutants for composition operators induced by a hyperbolic linear fractional automorphisms of the unit disk

Abstract

We describe the commutant of the composition operator induced by a hyperbolic linear fractional transformation of the unit disk onto itself in the class of linear continuous operators which act on the space of analytic functions. Two general classes of linear continuous operators which commute with such composition operators are constructed.

Full Text

Article Information

Title	Representation of commutants for composition operators induced by a hyperbolic linear fractional automorphisms of the unit disk
Source	Methods Funct. Anal. Topology, Vol. 14 (2008), no. 4, 361-371
MathSciNet	MR2469075
Copyright	The Author(s) 2008 (CC BY-SA)

Authors Information

Yu. S. Linchuk
Chernivtsi State University, 2 Kotsiubyns'kogo, Chernivtsi, Ukraine 

Citation Example

Yu. S. Linchuk, Representation of commutants for composition operators induced by a hyperbolic linear fractional automorphisms of the unit disk, Methods Funct. Anal. Topology 14 (2008), no. 4, 361-371.

BibTex

@article {MFAT458,
    AUTHOR = {Linchuk, Yu. S.},
     TITLE = {Representation of commutants for composition operators induced by a hyperbolic linear fractional automorphisms of the unit disk},
   JOURNAL = {Methods Funct. Anal. Topology},
  FJOURNAL = {Methods of Functional Analysis and Topology},
    VOLUME = {14},
      YEAR = {2008},
    NUMBER = {4},
     PAGES = {361-371},
      ISSN = {1029-3531},
  MRNUMBER = {MR2469075},
       URL = {http://mfat.imath.kiev.ua/article/?id=458},
}