Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Bourgain’s analytic projection revisited
HTML articles powered by AMS MathViewer

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
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 30D55, 46E15
  • Retrieve articles in all journals with MSC (1991): 30D55, 46E15
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