PreprintCC BY 4.0arXiv
Uniform L2-bounds for the n-th Calderón commutator on Lipschitz graphs
Abstract
We prove that, for every real Lipschitz function A and every integer n≥1, |TA,n|L2(ℝ)→ L2(ℝ)≤ C |A'|∞n, where TA,n is the n-th Calderón commutator and C is an absolute constant.
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BibTeX
@misc{hernandez2026uniform,
title = {{Uniform $L^2$-bounds for the $n$-th Calderón commutator on Lipschitz graphs}},
author = {Joan Hernández and Joan Mateu and Laura Prat},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.20489},
eprint = {2610.20489},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.20489},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Uniform L^2-bounds for the n-th Calderón commutator on Lipschitz graphs
AU - Joan Hernández
AU - Joan Mateu
AU - Laura Prat
PY - 2026
DA - 2026/10/29
PB - arXiv
DO - 10.48550/arxiv.2610.20489
UR - https://arxiv.org/abs/2610.20489
AB - We prove that, for every real Lipschitz function A and every integer n≥1, |T_A,n|_L^2(ℝ)→ L^2(ℝ)≤ C |A'|_∞^n, where T_A,n is the n-th Calderón commutator and C is an absolute constant.
ER -