## Bourgain’s analytic projection revisited

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- by S. V. Kislyakov PDF
- Proc. Amer. Math. Soc.
**126**(1998), 3307-3314 Request permission

## Abstract:

For a positive function $w$ on the unit circle with $\log w\in L^1$, the following two statements are equivalent: (a) $\log w\in BMO$; (b) there is an operator $Q$ projecting $L^p(w)$ onto $H^p(w)$ for all $1<p<\infty$ at once and having weak type (1,1) with respect to $w$.## References

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## Additional Information

**S. V. Kislyakov**- Affiliation: Université Bordeaux I, Laboratoire de Mathématiques Pures, 351 cours de la Libération, F-33405 Talence Cedex 05, France; Steklov Mathematical Institute, St. Petersburg Branch, Fontanka 27, 191011 St. Petersburg, Russia
- Email: skis@math.u-bordeaux.fr, skis@pdmi.ras.ru
- Received by editor(s): March 30, 1997
- Communicated by: Theodore W. Gamelin
- © Copyright 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc.
**126**(1998), 3307-3314 - MSC (1991): Primary 30D55, 46E15
- DOI: https://doi.org/10.1090/S0002-9939-98-04502-X
- MathSciNet review: 1458882