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Toeplitz and Hankel type operators on an annulus

Published online by Cambridge University Press:  26 February 2010

Qingtang Jiang
Affiliation:
Institute of Mathematics, Peking University, Beijing 100871, People's Republic of China.
Lizhong Peng
Affiliation:
Institute of Mathematics, Peking University, Beijing 100871, People's Republic of China.

Extract

Let Ω be a regular domain in the extended complex plane, i.e., it is a bounded domain and its boundary consists of a finite number of disjoint analytic simple closed curves. Let dm(z) be the Lebesgue area measure on Ω and let ds = dm(z)/ω(z) be the Poincare metric on Ω, a Riemannian metric of negative constant curvature. It may be proved that Ω(z) ≈ Euclidean distance from z to the boundary of Ω (see [8]).

Type
Research Article
Copyright
Copyright © University College London 1994

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References

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