HIGHLIGHTS
SUMMARY
The authors may write f to mean the function on D or on D, and f b for the boundary function on T. ∞ Let (an )n∈Z ∈ 1 (Z), and consider the function f (z):=n=-∞ an z n for z ∈ T. Let R be a Banach algebra of functions on T such that W (T) ⊆ R ⊆ C(T), with continuous inclusions, and let R+ be the Banach algebra of all functions f ∈ A(D) such that f b ∈ R, so that W + (D) ⊆ R+ ⊆ A(D). A bounded A-calculus for T is . . .
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