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Part of the book series: Graduate Texts in Mathematics ((GTM,volume 236))

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Abstract

We come to the beautiful theory, due to D. Sarason, S.-Y. Chang, and D. E. Marshall, of the uniform algebras between H and L. The results themselves are very pleasing esthetically, and the proofs present an interesting blend of the concrete and the abstract. The corona construction and the BMO duality proof from Chapter VI provide the hard techniques, but the theory of maximal ideals holds the proof together.

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Garnett, J.B. (2007). Douglas Algebras. In: Bounded Analytic Functions. Graduate Texts in Mathematics, vol 236. Springer, New York, NY. https://doi.org/10.1007/0-387-49763-3_9

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