Dual Toeplitz Operators on the Orthogonal Complement of the Fock–Sobolev Space. (15th April 2023)

• Record Type: Journal Article
• Authors: He, Li; Wu, Biqian
• Other Names: Fu Yongqiang Academic Editor.
• Is Part Of: Journal of mathematics. Volume 2023(2023)
• Publication Date: 2023-04-15
• Subjects: Mathematics -- Periodicals; Mathematics; Periodicals; 510
• DOI: 10.1155/2023/1679173
• Languages: English
• ISSNs: 2314-4629

Abstract

Abstract : In this paper, we consider the dual Toeplitz operators on the orthogonal complement of the Fock–Sobolev space and characterize their boundedness and compactness. It turns out that the dual Toeplitz operator S f is bounded if and only if f ∈ L ∞, and S f = f ∞ . We also obtain that the dual Toeplitz operator with L ∞ symbol on orthogonal complement of the Fock–Sobolev space is compact if and only if the corresponding symbol is equal to zero almost everywhere.