Spectral properties of weighted composition operators on the Bloch and Dirichlet spaces

Ted Eklund, Mikael Lindström, and Paweł Mleczko. "Spectral properties of weighted composition operators on the Bloch and Dirichlet spaces." Studia Mathematica 232.2 (2016): 95-112. <http://eudml.org/doc/285543>.

@article{TedEklund2016,
abstract = {The spectra of invertible weighted composition operators $uC_\{φ\}$ on the Bloch and Dirichlet spaces are studied. In the Bloch case we obtain a complete description of the spectrum when φ is a parabolic or elliptic automorphism of the unit disc. In the case of a hyperbolic automorphism φ, exact expressions for the spectral radii of invertible weighted composition operators acting on the Bloch and Dirichlet spaces are derived.},
author = {Ted Eklund, Mikael Lindström, Paweł Mleczko},
journal = {Studia Mathematica},
keywords = {weighted composition operator; spectrum; multiplier space; automorphism; Bloch space; Dirichlet space},
language = {eng},
number = {2},
pages = {95-112},
title = {Spectral properties of weighted composition operators on the Bloch and Dirichlet spaces},
url = {http://eudml.org/doc/285543},
volume = {232},
year = {2016},
}

TY - JOUR
AU - Ted Eklund
AU - Mikael Lindström
AU - Paweł Mleczko
TI - Spectral properties of weighted composition operators on the Bloch and Dirichlet spaces
JO - Studia Mathematica
PY - 2016
VL - 232
IS - 2
SP - 95
EP - 112
AB - The spectra of invertible weighted composition operators $uC_{φ}$ on the Bloch and Dirichlet spaces are studied. In the Bloch case we obtain a complete description of the spectrum when φ is a parabolic or elliptic automorphism of the unit disc. In the case of a hyperbolic automorphism φ, exact expressions for the spectral radii of invertible weighted composition operators acting on the Bloch and Dirichlet spaces are derived.
LA - eng
KW - weighted composition operator; spectrum; multiplier space; automorphism; Bloch space; Dirichlet space
UR - http://eudml.org/doc/285543
ER -