2021/11/30 by Tomoya Kato, Akihiko Miyachi, Naohito Tomita · 15 citations
Mathematics · #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Bilinear interpolation #Bounded function #Class (philosophy) #Differential (mechanical device) #Differential operator #Hypoelliptic operator #Mathematical Analysis and Transform Methods #Mathematical analysis #Mathematics #Multilinear map #Pseudo-differential operator #Pure mathematics #Semi-elliptic operator #Statistics
paper · pdf · doi:10.1016/j.jfa.2021.109329
published in Journal of Functional Analysis 282(4), 109329 (Elsevier BV)
openalex publication_date 2021/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/31
The multilinear pseudo-differential operators with symbols in the multilinear Hörmander class S0,0 are considered. A complete identification of the cases where those operators define bounded operators between local Hardy spaces is given. Some results for the boundedness between Wiener amalgam spaces are also given. These are extensions and improvements of the results known in the bilinear case.