Paraproduct on the Heisenberg group and applications

DOI10.4171/RMI/289zbMath0971.43002MaRDI QIDQ5940349

Isabelle Gallagher, Hajer Bahouri

Publication date: 28 October 2001

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/39623

zbMATH Keywords

Heisenberg groupparaproductirreducible unitary representationsFourier transformation on noncommutative groupsLittlewood-Paley decompositionsemilinear wave equationssub-elliptic semilinear systems

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30)

Related Items (14)

Logarithmic Littlewood-Paley Decomposition and Applications to Orlicz Spaces ⋮ Probabilistic local well-posedness for the Schrödinger equation posed for the Grushin Laplacian ⋮ Phase-space analysis and pseudo-differential calculus on the Heisenberg group ⋮ Sobolev spaces on graded Lie groups ⋮ Strichartz estimates and Fourier restriction theorems on the Heisenberg group ⋮ Spectral summability for the quartic oscillator with applications to the Engel group ⋮ Nonexistence of solutions of some non-linear non-local evolution systems on the Heisenberg group ⋮ Function spaces via fractional Poisson kernel on Carnot groups and applications ⋮ The trace problem for Sobolev spaces over the Heisenberg group ⋮ Geometric space-frequency analysis on manifolds ⋮ Unnamed Item ⋮ Embedding the Heisenberg group into a bounded-dimensional Euclidean space with optimal distortion ⋮ Some results on the Navier-Stokes equations in thin 3D domains ⋮ Approximation of critical regularity functions on stratified homogeneous groups

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