Maximal operators associated to multiplicative characters
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- by Allison Lewko and Mark Lewko PDF
- Proc. Amer. Math. Soc. 142 (2014), 3315-3323 Request permission
Abstract:
We show that the natural analogue of the Carleson-Hunt inequality fails for multiplicative characters.References
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Additional Information
- Allison Lewko
- Affiliation: Microsoft Research New England, One Memorial Drive, Cambridge, Massachusetts 02142
- Address at time of publication: Department of Computer Science, Columbia University, 519 CSB, 1214 Amsterdam Avenue MC 0401, New York, New York 10027
- Email: alewko@cs.columbia.edu
- Mark Lewko
- Affiliation: Department of Mathematics, The University of California Los Angeles, Los Angeles, California 90024
- Email: mlewko@math.ucla.edu
- Received by editor(s): July 10, 2012
- Received by editor(s) in revised form: September 19, 2012
- Published electronically: July 9, 2014
- Additional Notes: The first author was supported by a Microsoft Research Ph.D. Fellowship during the completion of this work
The second author was supported by an NSF Postdoctoral Fellowship, DMS-1204206 - Communicated by: Alexander Iosevich
- © Copyright 2014
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 142 (2014), 3315-3323
- MSC (2010): Primary 11L40, 42B05
- DOI: https://doi.org/10.1090/S0002-9939-2014-12042-9
- MathSciNet review: 3238409