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Original Articles

Spectral asymptotic of Cauchy’s operator on harmonic Bergman space for a simply connected domain

Pages 770-782 | Received 09 Oct 2016, Accepted 04 Jun 2017, Published online: 20 Jun 2017
 

Abstract

We find the asymptotic behaviour of the singular numbers for the Cauchy operator restricted to the harmonic subspace i.e. Here is the orthogonal projection from onto Moreover, we give lower and upper asymptotic estimate bounds for

where is a conformal mapping.

AMS Subject Classifications:

Notes

No potential conflict of interest was reported by the author.

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