Sparse domination for the lattice Hardy–Littlewood maximal operator
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- by Timo S. Hänninen and Emiel Lorist
- Proc. Amer. Math. Soc. 147 (2019), 271-284
- DOI: https://doi.org/10.1090/proc/14236
- Published electronically: October 3, 2018
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Abstract:
We study the domination of the lattice Hardy–Littlewood maximal operator by sparse operators in the setting of general Banach lattices. We prove that the admissible exponents of the dominating sparse operator are determined by the $q$-convexity of the Banach lattice.References
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Bibliographic Information
- Timo S. Hänninen
- Affiliation: Department of Mathematics and Statistics, University of Helsinki, P.O. Box 68, FI-00014 Helsinki, Finland
- Email: timo.s.hanninen@helsinki.fi
- Emiel Lorist
- Affiliation: Delft Institute of Applied Mathematics, Delft University of Technology, P.O. Box 5031, 2600 GA Delft, The Netherlands
- MR Author ID: 1192948
- ORCID: 0000-0002-2045-6035
- Email: e.lorist@tudelft.nl
- Received by editor(s): April 18, 2018
- Published electronically: October 3, 2018
- Additional Notes: The first author was supported by the Academy of Finland (Funding Decision No 297929). He is a member of the Finnish Centre of Excellence in Analysis and Dynamics Research.
The second author was supported by the VIDI subsidy 639.032.427 of the Netherlands Organisation for Scientific Research (NWO) - Communicated by: Alexander Iosevich
- © Copyright 2018 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 147 (2019), 271-284
- MSC (2010): Primary 42B25; Secondary 46E30, 46B42
- DOI: https://doi.org/10.1090/proc/14236
- MathSciNet review: 3876748