Improved curvature conditions on L2 × ⋯ × L2 → L2/ bounds for multilinear maximal averages
In this article, we focus on L 2 ( R d ) × ⋯ × L 2 ( R d ) → L 2 / m ( R d ) estimates for multilinear maximal averages over non-degenerate hypersurfaces. Our findings is new for m -linear averages with m ≥ 3 , and represent a reproof of the recent result of T. Borges, B. Foster, and Y. Ou on the curvature conditions of the hypersurfaces required in establishing L 2 ( R d ) × L 2 ( R d ) → L 1 ( R d ) estimates of bilinear maximal functions.
Authors
- Chu-Hee Cho
- Jin Bong Lee (ORCID: https://orcid.org/0000-0001-8864-1395)
- Kalachand Shuin (ORCID: https://orcid.org/0000-0002-1909-0937)
Institutions
- Seoul National University (KR)
- Indian Institute of Science Bangalore (IN)
Publication Details
- Journal
- Journal of Mathematical Analysis and Applications
- Published
- 2024-12-11
- DOI
- https://doi.org/10.1016/j.jmaa.2024.129162
- Primary Topic
- Advanced Harmonic Analysis Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Department of Science and Technology, Ministry of Science and Technology, India
- National Research Foundation of Korea