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Fourier decay of fractal measures on surfaces of co-dimension two in $\mathbb{R}^5$
- Source :
- Journal of Functional Analysis, 286 (2024), 110378
- Publication Year :
- 2023
-
Abstract
- Fourier decay of fractal measures on surfaces plays an important role in geometric measure theory and partial differential equations. In this paper, we study the quadratic surfaces of high co-dimensions. Unlike the case of co-dimension 1, quadratic surfaces of high co-dimensions possess some special scaling structures and degenerate characteristics. We will adopt the strategy from Du and Zhang, combined with the broad-narrow analysis with different dimensions as divisions, to obtain a few lower bounds of Fourier decay of fractal measures on quadratic surfaces of co-dimension two in $\mathbb{R}^5$.<br />Comment: 41 pages
- Subjects :
- Mathematics - Classical Analysis and ODEs
Subjects
Details
- Database :
- arXiv
- Journal :
- Journal of Functional Analysis, 286 (2024), 110378
- Publication Type :
- Report
- Accession number :
- edsarx.2304.12595
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1016/j.jfa.2024.110378