Analysis by discs

E. Amar

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Analysis by discs

E. Amar

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Abstract

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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E. Amar. 2004-05-13. Analysis by discs. https://arxiv.org/abs/math/0405242

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