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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© 2007 Springer
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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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DOI: https://doi.org/10.1007/0-387-49763-3_9
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-33621-3
Online ISBN: 978-0-387-49763-1
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