PreprintCC BY 4.0HAL
Multilinear Mikhlin Multipliers with Degenerate Singularities
Abstract
We prove Lp bounds for multilinear multipliers whose symbols are singular along degenerate subspaces. When the singularity has a sufficiently mild degeneracy, we show that the wavepacket analysis of the nondegenerate theory can be adapted to this setting. The admissible range of exponents depends on the geometry of the singularity.
Related
- An interpretation of the BMO boundedness of Hörmander--Mikhlin multipliers
- Weak (1,1) Shur multipliers and the Hörmander--Mikhlin--Schur theorem
- Spectral pairs of Newton non-degenerate polynomials with isolated singularities
- Gibbs measures with multilinear forms
- Restriction estimates using multilinear Kakeya
BibTeX
@misc{vandanjon2026multilinear,
title = {{Multilinear Mikhlin Multipliers with Degenerate Singularities}},
author = {Hanaë Vandanjon},
howpublished = {HAL},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.18818},
eprint = {2609.18818},
archivePrefix = {arXiv},
url = {https://hal.science/hal-05740377v1},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Multilinear Mikhlin Multipliers with Degenerate Singularities
AU - Hanaë Vandanjon
PY - 2026
DA - 2026/09/07
PB - HAL
DO - 10.48550/arxiv.2609.18818
UR - https://hal.science/hal-05740377v1
AB - We prove L^p bounds for multilinear multipliers whose symbols are singular along degenerate subspaces. When the singularity has a sufficiently mild degeneracy, we show that the wavepacket analysis of the nondegenerate theory can be adapted to this setting. The admissible range of exponents depends on the geometry of the singularity.
ER -