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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2005
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/math/0510581 |
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| _version_ | 1866914853422104576 |
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| author | Demeter, Ciprian Tao, Terence Thiele, Christoph |
| author_facet | Demeter, Ciprian Tao, Terence Thiele, Christoph |
| contents | We establish multilinear $L^p$ bounds for a class of maximal multilinear averages of functions on one variable, reproving and generalizing the bilinear maximal function bounds of Lacey. 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_math_0510581 |
| institution | arXiv |
| publishDate | 2005 |
| record_format | arxiv |
| spellingShingle | Maximal multilinear operators Demeter, Ciprian Tao, Terence Thiele, Christoph Classical Analysis and ODEs Dynamical Systems 42A20, 37A45 We establish multilinear $L^p$ bounds for a class of maximal multilinear averages of functions on one variable, reproving and generalizing the bilinear maximal function bounds of Lacey. 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. |
| title | Maximal multilinear operators |
| topic | Classical Analysis and ODEs Dynamical Systems 42A20, 37A45 |
| url | https://arxiv.org/abs/math/0510581 |