A small boundary for 𝐻^{∞} on a strictly pseudoconvex domain

Cupillari, Antonella

doi:10.1090/S0002-9939-1985-0806077-5

A small boundary for $H^ \infty$ on a strictly pseudoconvex domain
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Proc. Amer. Math. Soc. 95 (1985), 396-402 Request permission

Abstract:

Let $n \geqslant 2$ and $D \subset \subset {{\mathbf {C}}^n}$ be a strictly pseudoconvex domain with ${C^k}$ boundary for $k > 2$. There is a closed nowhere dense subset of the maximal ideal space of ${L^\infty }({\text {b}}D)$ which defines a closed boundary for ${H^\infty }(D)$.

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