A counterexample for boundedness of pseudo-differential operators on modulation spaces
From MaRDI portal
Publication:5448931
DOI10.1090/S0002-9939-08-09253-8zbMath1153.35094arXivmath/0701732WikidataQ124846754 ScholiaQ124846754MaRDI QIDQ5448931
Naohito Tomita, Mitsuru Sugimoto
Publication date: 10 March 2008
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0701732
Pseudodifferential operators as generalizations of partial differential operators (35S05) Function spaces arising in harmonic analysis (42B35) Pseudodifferential operators (47G30)
Related Items (10)
Time-frequency analysis of Born-Jordan pseudodifferential operators ⋮ Spectral and regularity properties of a pseudo-differential calculus related to Landau quantization ⋮ Molecular decomposition of the modulation spaces ⋮ Microlocal regularity of nonlinear PDE in quasi-homogeneous Fourier-Lebesgue spaces ⋮ Pseudodifferential operators with symbols in the Hörmander class \(S^0_{\alpha ,\alpha }\) on \(\alpha \)-modulation spaces ⋮ Boundedness properties of pseudo-differential and Calderón--Zygmund operators on modulation spaces ⋮ Remarks on nonlinear operations on modulation spaces ⋮ The Cauchy problem for the vibrating plate equation in modulation spaces ⋮ Nonlinear operations on a class of modulation spaces ⋮ Schrödinger Equations in Modulation Spaces
Cites Work
- Unnamed Item
- Unnamed Item
- Time-frequency analysis of Sjöstrand's class
- Modulation spaces on the Euclidean n-space
- Modulation spaces and pseudodifferential operators
- Continuity properties for modulation spaces, with applications to pseudo-differential calculus. I.
- Foundations of time-frequency analysis
- An algebra of pseudodifferential operators
- The Boundedness of Pseudodifferential Operators on Modulation Spaces
- A Class of Bounded Pseudo-Differential Operators
This page was built for publication: A counterexample for boundedness of pseudo-differential operators on modulation spaces
