UNIQUENESS OF TOEPLITZ OPERATOR IN THE COMPLEX PLANE

• Journal title : Honam Mathematical Journal
• Volume 31, Issue 4,  2009, pp.633-637
• Publisher : The Honam Mathematical Society
• DOI : 10.5831/HMJ.2009.31.4.633
Title & Authors
UNIQUENESS OF TOEPLITZ OPERATOR IN THE COMPLEX PLANE
Chung, Young-Bok;

Abstract
We prove using the Szeg$\small{\H{o}}$ kernel and the Garabedian kernel that a Toeplitz operator on the boundary of $\small{C^{\infty}}$ smoothly bounded domain associated to a smooth symbol vanishes only when the symbol vanishes identically. This gives a generalization of previous results on the unit disk to more general domains in the plane.
Keywords
Szeg$\small{\H{o}}$ kernel;Toeplitz operator;Garabedian kernel;
Language
English
Cited by
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