Density of the polynomials in the Hardy space of certain slit domains

Akeroyd, John

doi:10.1090/S0002-9939-1992-1089399-9

Density of the polynomials in the Hardy space of certain slit domains
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Proc. Amer. Math. Soc. 115 (1992), 1013-1021 Request permission

Abstract:

In this article we construct a Jordan arc $\Gamma$ in the complex plane, with endpoints 0 and 1, such that the polynomials are dense in the Hardy space ${H^2}(\mathbb {D}/\Gamma );\mathbb {D}: = \{ z \in \mathbb {C}:|z| < 1\}$.

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