Boundedness of multilinear pseudo-differential operators on modulation spaces

DOI10.1007/s00041-016-9461-2zbMath1352.47029arXiv1502.03317OpenAlexW2128262115MaRDI QIDQ501954

Shahla Molahajloo, Götz E. Pfander, Kasso A. Okoudjou

Publication date: 10 January 2017

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.03317

zbMATH Keywords

modulation spacesbilinear Hilbert transformtrilinear Hilbert transformmultilinear pseudo-differential operators

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Multipliers for harmonic analysis in several variables (42B15) Multipliers in one variable harmonic analysis (42A45) Pseudodifferential operators (47G30) Pseudodifferential operators and other generalizations of partial differential operators (35S99)

Related Items (10)

Product \((\alpha_1, \alpha_2)\)-modulation spaces ⋮ Pseudo-differential operators on homogeneous spaces of compact and Hausdorff groups ⋮ Kernel theorems for modulation spaces ⋮ Multilinear \(\tau\)-Wigner transform ⋮ Mixed-norm $\alpha $-modulation spaces ⋮ Continuity Properties of Multilinear Localization Operators on Modulation Spaces ⋮ Subexponential decay and regularity estimates for eigenfunctions of localization operators ⋮ Kernel theorems in coorbit theory ⋮ Bilinear pseudo-differential operators with Gevrey-Hörmander symbols ⋮ Trace mappings on quasi-Banach modulation spaces and applications to pseudo-differential operators of amplitude type

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