Work

Improved curvature conditions on L2 × ⋯ × L2 → L2/ bounds for multilinear maximal averages

Year: 2024

Type: article

Abstract: 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.

Source: Journal of Mathematical Analysis and Applications

DOI: 10.1016/j.jmaa.2024.129162

Authors: Chu-Hee Cho, Jin Bong Lee, Kalachand Shuin

Language: English

Topic: Advanced Harmonic Analysis Research

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,100

Funders: Department of Science and Technology, Ministry of Science and Technology, India, National Research Foundation of Korea

OpenAlex ID: W4405287754

FWCI:

Cites: 12

Cited by:

Related to: 10