Jump to content

Carleson–Jacobs theorem

From Wikipedia, the free encyclopedia
(Redirected from Jacobs theorem)

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.[1]

Notes

[edit]
  1. ^ Garnett 1981, p. 139.

References

[edit]
  • 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.