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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
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Submitted on : Wednesday, May 24, 2006 - 3:00:25 PM
Last modification on : Thursday, February 3, 2022 - 11:16:39 AM
Long-term archiving on: : Tuesday, April 12, 2011 - 4:26:30 PM

### Identifiers

• HAL Id : inria-00074299, version 1

### Citation

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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