A sharp Hörmander estimate for multi-parameter and multi-linear Fourier multiplier operators

2024/06/01 by Jiao Chen, Danqing He, Guozhen Lu +2 · 6 citations
Mathematics · #Advanced Harmonic Analysis Research #Applied mathematics #Fourier analysis #Fourier transform #Holomorphic and Operator Theory #Mathematical Analysis and Transform Methods #Mathematical analysis #Mathematics #Multiplier (economics)

paper · doi:10.1007/s00208-024-02893-x

published in Mathematische Annalen 390(4), 5923-5985 (Springer Nature)

openalex publication_date 2024/06/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Citations

• Estimates for translation invariant operators in Lp spaces
• A Hörmander type multiplier theorem for multilinear operators
• Multilinear Calderón–Zygmund Theory
• Parabolic maximal functions associated with a distribution, II
• Some Maximal Inequalities
• Bi-parameter trilinear Fourier multipliers and pseudo-differential operators with flag symbols
• The Hörmander multiplier theorem for n-linear operators

Cited by

• h Estimates for multilinear pseudo-differential operators with flag symbols