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Bourgain's analytic projection revisited |
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| Authors: | 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 |
| Abstract: | For a positive function  on the unit circle with  , the following two statements are equivalent: (a)  ; (b) there is an operator  projecting  onto  for all  at once and having weak type (1,1) with respect to  . |
| Keywords: | Weight analytic decomposition of unity analytic projection $BMO$-regular space |
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