Abstract. We obtain a description of the holomorphic Besov space that is valid for the indices 1 ≤ p, q < ∞, 0 < s < 1. Applications to inner-outer factorisation, and to inner functions in particular, are provided.

We characterise the interpolating sequences for the Besov spaces B p and for their multiplier spaces. We also construct linear operators of interpolation.

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Abstract. We prove an interpolation theorem for Hilbert spaces of analytic functions that have the Nevanlinna-Pick property. This result applies to Dirichlet and Dirichlet-type spaces, and in particular a short proof of the theorem by Marshall-Sundberg on interpolating sequences is obtained.

No abstract