Boundedness of bilinear pseudo-differential operators of \(S_{0,0}\)-type in Wiener amalgam spaces and in Lebesgue spaces
DOI10.1016/J.JMAA.2022.126382OpenAlexW3137765564MaRDI QIDQ2154424
Tomoya Kato, Akihiko Miyachi, Naohito Tomita
Publication date: 19 July 2022
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.11283
Wiener amalgam spacesbilinear pseudo-differential operatorsGagliardo-Nirenberg inequalitybilinear Hörmander symbol classes
Pseudodifferential operators as generalizations of partial differential operators (35S05) Multipliers for harmonic analysis in several variables (42B15) Pseudodifferential operators (47G30)
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Cites Work
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- Inclusion relations between \(L^p\)-Sobolev and Wiener amalgam spaces
- Characterization of inclusion relations between Wiener amalgam and some classical spaces
- The global Cauchy problem for the NLS and NLKG with small rough data
- Modulation spaces \(M^{p,q}\) for \(0<p,q\leq\infty\)
- Modulation spaces on the Euclidean n-space
- Commutateurs d'intégrales singulières et opérateurs multilinéaires
- A local version of real Hardy spaces
- Time-frequency analysis on modulation spaces \(M_{m}^{p,q}\), \(0 < p,q \leqslant \infty\).
- Foundations of time-frequency analysis
- Multilinear Calderón-Zygmund theory
- Rough bilinear singular integrals
- Almost orthogonality and a class of bounded bilinear pseudodifferential operators
- Bilinear pseudo-differential operators with exotic symbols
- Boundedness of multilinear pseudo-differential operators of \(S_{0,0}\)-type in \(L^2\)-based amalgam spaces
- Boundedness of bilinear pseudo-differential operators of \(S_{0,0}\)-type on \(L^2\times L^2\)
- \(L^2\times L^2 \rightarrow L^1\) boundedness criteria
- Characterizations of some properties on weighted modulation and Wiener amalgam spaces
- Multilinear pseudodifferential operators beyond Calderón-Zygmund theory
- Bilinear pseudo-differential operators with exotic symbols. II.
- Notes on endpoint estimates for multilinear fractional integral operators
- On the $L^\infty \times L^\infty \rightarrow BMO$ mapping property for certain bilinear pseudodifferential operators
- A Generalization of the Calderón-Vaillancourt Theorem toLp andhp
- Symbolic Calculus and the Transposes of Bilinear Pseudodifferential Operators
- The lattice bump multiplier problem
- Classical Fourier Analysis
- Modern Fourier Analysis
- On the Hormander classes of bilinear pseudodifferential operators II
- Calderon-Vaillancourt--type theorem for bilinear operators
- A Class of Bounded Pseudo-Differential Operators
- On the Hörmander classes of bilinear pseudodifferential operators
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