Boundedness of multilinear pseudo-differential operators of \(S_{0,0}\)-type in \(L^2\)-based amalgam spaces

DOI10.2969/JMSJ/83468346zbMath1467.35371arXiv1908.11641OpenAlexW3092149283MaRDI QIDQ2039814

Naohito Tomita, Akihiko Miyachi, Tomoya Kato

Publication date: 5 July 2021

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.11641

zbMATH Keywords

multilinear pseudo-differential operatorsmultilinear Hörmander symbol classes

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Function spaces arising in harmonic analysis (42B35) Multipliers for harmonic analysis in several variables (42B15)

Related Items (8)

Initial 𝐿²×⋯×𝐿² bounds for multilinear operators ⋮ Boundedness of bilinear pseudo-differential operators of \(S_{0,0}\)-type in Wiener amalgam spaces and in Lebesgue spaces ⋮ Multilinear pseudo-differential operators with \(S_{0, 0}\) class symbols of limited smoothness ⋮ A remark on the condition \(1/p = 1/p_1 + 1/p_2\) for boundedness of bilinear pseudo-differential operators with exotic symbols ⋮ Boundedness of multilinear pseudo-differential operators with \(S_{0,0}\) class symbols on Besov spaces ⋮ On the ranges of bilinear pseudo-differential operators of \(S_{0,0}\)-type on \(L^2 \times L^2\) ⋮ Kato-Ponce type inequality for bilinear pseudo-differential operators of $S_{0, 0}$-type in the scale of Besov spaces ⋮ Boundedness of multilinear pseudo-differential operators with symbols in the Hörmander class \(S_{0,0}\)

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