Analysis by discs

Mathematics – Complex Variables

Scientific paper

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11 pages

Scientific paper

We prove that the composition of a function in the Hardy class H^p of the
unit ball B in C^n with an analytic disc is in the Bergman class of the unit
disc. Then we use it to show that the natural "analysis by discs" fails in the
case of H^p(B) interpolating sequences for finite p.

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