Document Type
Article
Publication Title
Journal of Integral Equations and Applications
Abstract
We establish an elementary lower estimate for the norm of the Kerzman-Stein operator for a smooth, bounded domain. The estimate involves the boundary length and logarithmic capacity. The estimate is tested on model domains for which the norm is known explicitly. It is shown that the estimate is sharp for an annulus and a strip, and is asymptotically sharp for an ellipse and a wedge. © 2007 Rocky Mountain Mathematics Consortium.
First Page
453
Last Page
463
DOI
10.1216/jiea/1192628618
Publication Date
12-1-2007
Recommended Citation
Bolt, Michael, "A lower estimate for the norm of the kerzman-stein operator" (2007). University Faculty Publications and Creative Works. 458.
https://digitalcommons.calvin.edu/calvin_facultypubs/458