Abstract
Let be the algebra generated in the Sobolev space by the rational functions with poles outside the unit disk . This is called the Sobolev disk algebra. In this article, the commutant of the multiplication operator on is studied, where is an n-Blaschke product. We prove that an operator is in if and only if , where , and is given by , , .
Citation
Ruifang Zhao. Zongyao Wang. David R. Larson. "The commutant of a multiplication operator with a finite Blaschke product symbol on the Sobolev disk algebra." Ann. Funct. Anal. 8 (3) 366 - 376, August 2017. https://doi.org/10.1215/20088752-2017-0002
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