2022/12/21 by Fred Yu‐Hsiang Lin, Lin, Fred Yu-Hsiang
Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Analysis and Transform Methods #Mathematical functions and polynomials
paper · pdf · doi:10.48550/arxiv.2212.11066
openalex publication_date 2022/12/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We classify a certain family of singular Brascamp-Lieb forms which we associate with the dimension datum (1, 2, 2, 1). We determine the exact range of Lebesgue exponents, for which one has singular Brascamp Lieb inequalities within this family. One key observation is a simple proof of a variant of an estimate in dyadic triangular Hilbert transform of two general and one not too general function. The remaining observations concern counter examples to boundedness. We compare with a counter example showing that the triangular Hilbert form does not satisfy singular Brascamp Lieb bounds with exponents (∞,p,p').