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A small boundary for $ H\sp \infty$ on a strictly pseudoconvex domain


Author: Antonella Cupillari
Journal: Proc. Amer. Math. Soc. 95 (1985), 396-402
MSC: Primary 32E25; Secondary 46J15
DOI: https://doi.org/10.1090/S0002-9939-1985-0806077-5
MathSciNet review: 806077
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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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DOI: https://doi.org/10.1090/S0002-9939-1985-0806077-5
Article copyright: © Copyright 1985 American Mathematical Society

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