Hardy Approximation to L
p
Functions on Subsets of the Circle with 1< =p< = infinity |
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Authors: | L Baratchart J Leblond |
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Institution: | (1) INRIA, BP 93 06902 Sophia-Antipolis Cedex France baratcha@sophia.inria.fr, FR;(2) INRIA, BP 93 06902 Sophia-Antipolis Cedex France leblond@sophia.inria.fr, FR |
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Abstract: | We consider approximation of L
p
functions by Hardy functions on subsets of the circle for . 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. |
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Keywords: | , Lp Analytic approximation, Recovery of Hp functions, Extremal problems in Hardy spaces, AMS Classification, 30D55,,,,,,30E10, 93B30, 93C80, <,lsiheader>, <,onlinepub>,8 May, 1998 <,editor>,Editors-in-Chief: &,lsilt,a href=,,/edboard,html#chiefs&,lsigt,R,A,,,,,,DeVore, E,B, Saff&,lsilt,/a&,lsigt, <,pdfname>,14n1p41,pdf <,pdfexist>,yes <,htmlexist>,no <,htmlfexist>,no <,texexist>,yes <,sectionname>,,,,,,<,/lsiheader>, |
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