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A Lower Estimate For The Norm Of The Kerzman-Stein Operator, Michael Bolt
A Lower Estimate For The Norm Of The Kerzman-Stein Operator, Michael Bolt
University Faculty Publications and Creative Works
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.