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Physical Sciences and Mathematics Commons™
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Articles 1 - 3 of 3
Full-Text Articles in Physical Sciences and Mathematics
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.
Geometry Of Sub-Finsler Engel Manifolds, Jeanne N. Clelland, Christopher G. Moseley, George R. Wilkens
Geometry Of Sub-Finsler Engel Manifolds, Jeanne N. Clelland, Christopher G. Moseley, George R. Wilkens
University Faculty Publications and Creative Works
We analyze the geometry of sub-Finsler Engel manifolds, computing a complete set of local invariants for a large class of these manifolds. We derive geodesic equations for regular geodesics and show that in the symmetric case, the rigid curves are local minimizers. We end by illustrating our results with an example.
Cauchy Integrals And Möbius Geometry Of Curves, David E. Barrett, Michael Bolt
Cauchy Integrals And Möbius Geometry Of Curves, David E. Barrett, Michael Bolt
University Faculty Publications and Creative Works
No abstract provided.