Hardy Approximation to Lp Functions on Subsets of the Circle with 1< =p< = infinity
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- Baratchart, L. & Leblond, J. Constr. Approx. (1998) 14: 41. doi:10.1007/s003659900062
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We consider approximation of Lp 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.