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# Bounded extremal and Cauchy--Laplace problems on the sphere and shell

Abstract : In this work, we develop a theory of approximating general vector fields on subsets of the sphere in $\RR^n$ by harmonic gradients from the Hardy space $H^p$ of the ball, \$1
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Reports
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https://hal.inria.fr/inria-00272203
Contributor : Juliette Leblond <>
Submitted on : Friday, April 11, 2008 - 10:28:43 AM
Last modification on : Thursday, January 17, 2019 - 1:42:02 PM
Long-term archiving on: : Friday, September 28, 2012 - 12:30:57 PM

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RR-BEP-sphere3D.pdf
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### Identifiers

• HAL Id : inria-00272203, version 1

### Citation

Bilal Atfeh, Laurent Baratchart, Juliette Leblond, Jonathan R. Partington. Bounded extremal and Cauchy--Laplace problems on the sphere and shell. [Research Report] 2008. ⟨inria-00272203v1⟩

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