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Convergence of Taylor series in Hardy and Besov spaces. (English) Zbl 1018.30035

The purpose of this note is to point out the role of the Boyd indices in the norm convergence of the Taylor series in Hardy and some other spaces on the unit circle.

MSC:

30D55 \(H^p\)-classes (MSC2000)
42A20 Convergence and absolute convergence of Fourier and trigonometric series
46B70 Interpolation between normed linear spaces
46E30 Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
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