The Bourgain algebra of the disk algebra A(𝔻) and the algebra QA
Cima, Joseph ; Mortini, Raymond
Studia Mathematica, Tome 113 (1995), p. 211-221 / Harvested from The Polish Digital Mathematics Library
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It is shown that the Bourgain algebra A()b of the disk algebra A() with respect to H∞() is the algebra generated by the Blaschke products having only a finite number of singularities. It is also proved that, with respect to H∞(), the algebra QA of bounded analytic functions of vanishing mean oscillation is invariant under the Bourgain map as is A()b.

Publié le : 1995-01-01
EUDML-ID : urn:eudml:doc:216171 
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     title = {The Bourgain algebra of the disk algebra A(D) and the algebra QA},
     journal = {Studia Mathematica},
     volume = {113},
     year = {1995},
     pages = {211-221},
     zbl = {0828.46050},
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Cima, Joseph; Mortini, Raymond. The Bourgain algebra of the disk algebra A(𝔻) and the algebra QA. Studia Mathematica, Tome 113 (1995) pp. 211-221. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv113i3p211bwm/

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