Spectrum of the Kerzman–Stein Operator for Model Domains
نویسنده
چکیده
For a domain Ω ⊂ C, the Kerzman-Stein operator is the skewhermitian part of the Cauchy operator acting on L(bΩ), which is defined with respect to Euclidean measure. In this paper we compute the spectrum of the Kerzman-Stein operator for three domains whose boundaries consist of two circular arcs: a strip, a wedge, and an annulus. We also treat the case of a domain bounded by two logarithmic spirals. Mathematics Subject Classification (2000). 45E05, 45E10, 30C40.
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