Commuting dual Toeplitz operators on the orthogonal complement of the Dirichlet space

Autor:	Shi Yue Wu, Tao Yu
Rok vydání:	2009
Předmět:	Algebra Sobolev space Mathematics::Functional Analysis Mathematics::Operator Algebras Applied Mathematics General Mathematics Orthogonal complement Dirichlet space Toeplitz matrix Mathematics Toeplitz operator
Zdroj:	Acta Mathematica Sinica, English Series. 25:245-252
ISSN:	1439-7617 1439-8516
DOI:	10.1007/s10114-008-7109-0
Popis:	In this paper we characterize commuting dual Toeplitz operators with harmonic symbols on the orthogonal complement of the Dirichlet space in the Sobolev space. We also obtain the sufficient and necessary conditions for the product of two dual Toeplitz operators with harmonic symbols to be a finite rank perturbation of a dual Toeplitz operator.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::a3eafaa0820426c2e997444e8b2c02e2 https://doi.org/10.1007/s10114-008-7109-0 Zobrazit plný text záznamu Plný text ve formátu PDF