An Integral Representation for Besov and Lipschitz Spaces
نویسنده
چکیده
It is well known that functions in the analytic Besov space B1 on the unit disk D admits an integral representation f(z) = ∫ D z − w 1− zw dμ(w), where μ is a complex Borel measure with |μ|(D) < ∞. We generalize this result to all Besov spaces Bp with 0 < p ≤ 1 and all Lipschitz spaces Λt with t > 1. We also obtain a version for Bergman and Fock spaces.
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