Hardy Approximation to L 1 Functions on Subsets of the Circle
نویسندگان
چکیده
We consider approximation of L 1 functions by H 1 functions on proper subsets of the circle. We 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.
منابع مشابه
Hardy approximation to L^p functions on subsets of the circle with 1 ≤ p < ∞
We consider approximation of L p functions by Hardy functions on subsets of the circle, for 1 p < 1. 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. problems in Hardy spaces.
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