TY - JOUR
T1 - On the compactness of the hypercomplex commutator in hölder continuous functions spaces
AU - Abreu-Blaya, Ricardo
AU - Bory-Reyes, Juan
AU - Vilaire, Jean Marie
PY - 2010
Y1 - 2010
N2 - This paper is devoted to the compactness of the hypercomplex commutator SγMa-MaSγ, where Sγ is the Cauchy singular integral operator (in the Douglis sense), a is a Hölder continuous hypercomplex function and Ma is the multiplication operator given by Maf=af. We extend a known compactness sufficient condition for the commutator of the Cauchy singular integral operator to the frame of the hypercomplex analysis, where γ is merely required to be an arbitrary regular closed Jordan curve.
AB - This paper is devoted to the compactness of the hypercomplex commutator SγMa-MaSγ, where Sγ is the Cauchy singular integral operator (in the Douglis sense), a is a Hölder continuous hypercomplex function and Ma is the multiplication operator given by Maf=af. We extend a known compactness sufficient condition for the commutator of the Cauchy singular integral operator to the frame of the hypercomplex analysis, where γ is merely required to be an arbitrary regular closed Jordan curve.
KW - Cauchy type integral
KW - Commutators
KW - Douglis algebras
UR - http://www.scopus.com/inward/record.url?scp=77953538135&partnerID=8YFLogxK
U2 - 10.1007/s11785-009-0013-5
DO - 10.1007/s11785-009-0013-5
M3 - Artículo
SN - 1661-8254
VL - 4
SP - 133
EP - 143
JO - Complex Analysis and Operator Theory
JF - Complex Analysis and Operator Theory
IS - 2
ER -