In mathematics, the Carleson–Jacobs theorem, introduced by L. Carleson and S. Jacobs (1972), describes the best approximation to a continuous function on the unit circle by a function in a Hardy space.
Notes
References Carleson, Lennart; Jacobs, Sigvard (1972), "Best uniform approximation by analytic functions", Arkiv för Matematik, 10 (1–2): 219–229, Bibcode:1972ArM....10..219C, doi:10.1007/BF02384810, ISSN 0004-2080, MR 0322410 Garnett, John B. (1981). Bounded analytic functions. Academic Press. ISBN 0-12-276150-2. MR 0068971.