A Marcinkiewicz maximal-multiplier theorem
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- by Richard Oberlin PDF
- Proc. Amer. Math. Soc. 141 (2013), 2081-2083 Request permission
Abstract:
For $r < 2$, we prove the boundedness of a maximal operator formed by applying all multipliers $m$ with $\|m\|_{V^r} \leq 1$ to a given function.References
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Additional Information
- Richard Oberlin
- Affiliation: Department of Mathematics, Louisiana State University, Baton Rouge, Louisiana 70803-4918
- Email: oberlin@math.lsu.edu
- Received by editor(s): October 4, 2011
- Published electronically: January 17, 2013
- Additional Notes: The author is supported in part by NSF Grant DMS-1068523.
- Communicated by: Michael T. Lacey
- © Copyright 2013
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 141 (2013), 2081-2083
- MSC (2010): Primary 42A45; Secondary 42A20
- DOI: https://doi.org/10.1090/S0002-9939-2013-11485-1
- MathSciNet review: 3034433