, Volume 14, Issue 1, pp 41-56
Date: 01 Jan 1997

Hardy Approximation to L p Functions on Subsets of the Circle with 1< =p< = infinity

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Abstract.

We consider approximation of L p functions by Hardy functions on subsets of the circle for \(1 \leq p < \infty\) . After some preliminaries on the possibility of such an approximation which are connected to recovery problems of the Carleman type, we prove existence and uniqueness of the solution to a generalized extremal problem involving norm constraints on the complementary subset.

December 6, 1995. Date revised: August 26, 1996.