-BOUNDS FOR PSEUDO-DIFFERENTIAL OPERATORS ON COMPACT LIE GROUPS

DOI10.1017/S1474748017000123zbMath1419.35263arXiv1605.07027OpenAlexW2963892891WikidataQ115335463 ScholiaQ115335463MaRDI QIDQ4634342

Michael Ruzhansky, Julio Delgado

Publication date: 7 May 2019

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.07027

zbMATH Keywords

pseudo-differential operatorscompact Lie groups\(L^p\) bounds

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Analysis on real and complex Lie groups (22E30) Pseudodifferential operators (47G30) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)

Related Items (16)

Besov continuity for pseudo-differential operators on compact homogeneous manifolds ⋮ Fourier multipliers for Triebel-Lizorkin spaces on compact Lie groups ⋮ \(L^p\)-bounds for pseudo-differential operators on graded Lie groups ⋮ Characterizations of self-adjointness, normality of pseudo-differential operators on homogeneous space of compact groups ⋮ Titchmarsh theorems for Fourier transforms of Hölder-Lipschitz functions on compact homogeneous manifolds ⋮ Oscillating singular integral operators on compact Lie groups revisited ⋮ L²-L^p estimates and Hilbert–Schmidt pseudo differential operators on the Heisenberg motion group ⋮ \(L^p\)-boundedness of pseudo-differential operators on rank one Riemannian symmetric spaces of noncompact type ⋮ L ^p -bounds for Fourier integral operators on the torus ⋮ Pseudo-differential operators, Wigner transform and Weyl transform on the affine Poincaré group ⋮ Self-adjointness and compactness of operators related to finite measure spaces ⋮ Periodic Fourier integral operators in \(L^p\)-spaces ⋮ On some spectral properties of pseudo-differential operators on \(\mathbb{T}\) ⋮ Unnamed Item ⋮ The Dixmier Trace and the Noncommutative Residue for Multipliers on Compact Manifolds ⋮ A note on spectral multipliers on Engel and Cartan groups

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