# The Bourgain algebra of the disk algebra A(𝔻) and the algebra QA

Studia Mathematica (1995)

- Volume: 113, Issue: 3, page 211-221
- ISSN: 0039-3223

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topCima, Joseph, and Mortini, Raymond. "The Bourgain algebra of the disk algebra A(𝔻) and the algebra QA." Studia Mathematica 113.3 (1995): 211-221. <http://eudml.org/doc/216171>.

@article{Cima1995,

abstract = {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 $A()_b$.},

author = {Cima, Joseph, Mortini, Raymond},

journal = {Studia Mathematica},

keywords = {Bourgain algebra; disk algebra; algebra generated by the Blaschke products having only a finite number of singularities},

language = {eng},

number = {3},

pages = {211-221},

title = {The Bourgain algebra of the disk algebra A(𝔻) and the algebra QA},

url = {http://eudml.org/doc/216171},

volume = {113},

year = {1995},

}

TY - JOUR

AU - Cima, Joseph

AU - Mortini, Raymond

TI - The Bourgain algebra of the disk algebra A(𝔻) and the algebra QA

JO - Studia Mathematica

PY - 1995

VL - 113

IS - 3

SP - 211

EP - 221

AB - 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 $A()_b$.

LA - eng

KW - Bourgain algebra; disk algebra; algebra generated by the Blaschke products having only a finite number of singularities

UR - http://eudml.org/doc/216171

ER -

## References

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