Sums of Polyanalytic Dual Toeplitz Products

  • Cho, Hong Rae
  • Koo, Hyungwoon
  • Lee, Young Joo
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초록

On the setting of the orthogonal complement of the polyanalytic Bergman space of the unit disk, we give characterizations of when a sum of products of several dual Toeplitz operators is compact or zero. Our results extend several known results on the Bergman space to polyanalytic Bergman spaces.

키워드

Dual Toeplitz operatorPolyanalytic Bergman spaceSum of productsCompactBERGMAN SPACESOPERATORS
제목
Sums of Polyanalytic Dual Toeplitz Products
저자
Cho, Hong RaeKoo, HyungwoonLee, Young Joo
DOI
10.1007/s11785-023-01424-x
발행일
2023-10
유형
Article
저널명
Complex Analysis and Operator Theory
17
7