Geodesic
Bourgain algebras of ideals in h ∞ generated by inner functions
Filomat, Tome 35 (2021) no. 15, p. 5131

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In this paper we prove that Bourgain algebra of qX relative to L ∞ contains C if X is backward shift invariant analytic subalgebra and q ∈ X is an inner function, i.e. qX, L ∞ b ⊃ C. We also studied some Bourgain algebras of finitely generated ideals in A and H ∞
DOI : 10.2298/FIL2115131H
Classification : 30H05, 30H50, 46J30
Keywords: Bounded analytic functions, Bourgain algebras, Ideals, Invariant subalgebras, Backward shift invariant subalgebras 
Miroslav Hristov. Bourgain algebras of ideals in h ∞ generated by inner functions. Filomat, Tome 35 (2021) no. 15, p. 5131 . doi: 10.2298/FIL2115131H
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     author = {Miroslav Hristov},
     title = {Bourgain algebras of ideals in h \ensuremath{\infty} generated by inner functions},
     journal = {Filomat},
     pages = {5131 },
     year = {2021},
     volume = {35},
     number = {15},
     doi = {10.2298/FIL2115131H},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2115131H/}
}
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