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Hardy approximation to $L^p$ functions on subsets of the circle

Abstract : We consider approximation of $L^p$ functions by Hardy functions on subsets of the circle. We first derive some properties of traces of Hardy classes on such subsets, and then turn to a generalization of classical extremal problems involving norm constraints on the complementary subset.
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https://hal.inria.fr/inria-00074299
Contributor : Rapport de Recherche Inria <>
Submitted on : Wednesday, May 24, 2006 - 3:00:25 PM
Last modification on : Saturday, January 27, 2018 - 1:31:28 AM
Long-term archiving on: : Tuesday, April 12, 2011 - 4:26:30 PM

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  • HAL Id : inria-00074299, version 1

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Laurent Baratchart, Juliette Leblond, Jonathan R. Partington. Hardy approximation to $L^p$ functions on subsets of the circle. [Research Report] RR-2377, INRIA. 1994. ⟨inria-00074299⟩

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