Maximal multilinear operators
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- by Ciprian Demeter, Terence Tao and Christoph Thiele PDF
- Trans. Amer. Math. Soc. 360 (2008), 4989-5042 Request permission
Abstract:
We establish multilinear $L^p$ bounds for a class of maximal multilinear averages of functions of one variable, reproving and generalizing the bilinear maximal function bounds of Lacey (2000). As an application we obtain almost everywhere convergence results for these averages, and in some cases we also obtain almost everywhere convergence for their ergodic counterparts on a dynamical system.References
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Additional Information
- Ciprian Demeter
- Affiliation: Department of Mathematics, University of California at Los Angeles, Los Angeles, California 90095-1555
- MR Author ID: 734783
- Email: demeter@math.ucla.edu
- Terence Tao
- Affiliation: Department of Mathematics, University of California at Los Angeles, Los Angeles, California 90095-1555
- MR Author ID: 361755
- ORCID: 0000-0002-0140-7641
- Email: tao@math.ucla.edu
- Christoph Thiele
- Affiliation: Department of Mathematics, University of California at Los Angeles, Los Angeles, California 90095-1555
- Email: thiele@math.ucla.edu
- Received by editor(s): November 30, 2005
- Received by editor(s) in revised form: October 27, 2006
- Published electronically: April 21, 2008
- Additional Notes: The first author was supported by NSF Grant DMS-0556389
The second author was supported by NSF Grant CCF-0649473 and a grant from the McArthur Foundation
The third author was supported by NSF Grants DMS-0400879 and DMS-0701302 - © Copyright 2008 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 360 (2008), 4989-5042
- MSC (2000): Primary 42B25; Secondary 37A45
- DOI: https://doi.org/10.1090/S0002-9947-08-04474-7
- MathSciNet review: 2403711