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2009
UNIQUENESS OF TOEPLITZ OPERATOR IN THE COMPLEX PLANE
UNIQUENESS OF TOEPLITZ OPERATOR IN THE COMPLEX PLANE
호남수학회
논문정보
- Publisher
- Honam Mathematical Journal
- Issue Date
- 2009-12-25
- Keywords
- -
- Citation
- -
- Source
- -
- Journal Title
- -
- Volume
- 31
- Number
- 4
- Start Page
- 633
- End Page
- 637
- DOI
- ISSN
- 1225293X
Abstract
We prove using the Szeg}o kernel and the Garabedian
kernel that a Toeplitz operator on the boundary of C1 smoothly
bounded domain associated to a smooth symbol vanishes only when
the symbol vanishes identically. This gives a generalization of pre-
vious results on the unit disk to more general domains in the plane.
- 전남대학교
- KCI
- Honam Mathematical Journal
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