The bilinear maximal functions map into L^p for 2/3 < p <= 1
By Michael T. Lacey. 2000
117 citations recorded by the source corpus.
The bilinear maximal operator defined below maps LP x Lq into Lr provided 1 0 2t t In particular Mfg is integrableif f and g are square integrable, answering a conjecture posed by Alberto Calder6n.
Subfields: Applied Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/eb86d32ac6e5991829f1a5f446cc6cb6f37db93d
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In Applied Mathematics
- Ciprian Demeter
- C. Thiele
- Terence Tao
- Emanuel Carneiro
- Michael T. Lacey
- Diego R. Moreira
- Shuanglin Shao
- Tuomas Hytönen
In Mathematical Physics
- Ciprian Demeter
- C. Thiele
- Terence Tao
- Michael T. Lacey
- Emanuel Carneiro
- Diego R. Moreira
- Shuanglin Shao
- Aynur Bulut
Citations in the corpus
- Breaking the duality in the return times theorem (2006, background): “This latter strategy was successful in dealing with maximal operators of similar complexity, as those in [17], [18], [22].”
- Maximal multilinear operators (2005, methodology): “For instance one can extend Lacey's bilinear estimates mentioned earlier to the multilinear setting by estimating all but two of the functions in L ∞ .”
- On the regularity of maximal operators (2008, background): “Lacey in the remarkable paper [7] showed that the family of one-dimensional bilinear maximal operators defined by (1.”