A Sobolev estimate for radial 𝐿^{𝑝}-multipliers on a class of semi-simple Lie groups
From MaRDI portal
Publication:6062134
DOI10.1090/tran/9052arXiv2302.08602OpenAlexW4386475118MaRDI QIDQ6062134
Publication date: 30 November 2023
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2302.08602
Analysis on real and complex Lie groups (22E30) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Noncommutative measure and integration (46L51)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Approximation properties for noncommutative \(L^p\)-spaces associated with lattices in Lie groups
- Smooth Fourier multipliers on group von Neumann algebras
- Noncommutative \(L^{p}\)-spaces without the completely bounded approximation property
- Harmonic analysis on semigroups
- Homogeneous asymptotic limits of Haar measures of semisimple linear groups and their lattices
- Theory of function spaces
- Spectra of compact locally symmetric manifolds of negative curvature
- Notes on non-commutative integration
- Parabolic maximal functions associated with a distribution
- Parabolic maximal functions associated with a distribution. II
- Approximation properties for noncommutative \(L^p\)-spaces of high rank lattices and nonembeddability of expanders
- Noncommutative Riesz transforms -- dimension free bounds and Fourier multipliers
- Heat kernel and Green function estimates on noncompact symmetric spaces
- Some remarks on the Mikhlin-Hörmander and Marcinkiewicz multiplier theorems: a short historical account and a recent improvement
- Fourier multipliers in \(\mathrm{SL}_n(\mathbb{R})\)
- A Mikhlin multiplier theory for free groups and amalgamated free products of von Neumann algebras
- Free Hilbert transforms
- Asymptotic behaviour of spectra of compact quotients of certain symmetric spaces
- A convexity theorem for certain groups of transformations
- NONCOMMUTATIVE DE LEEUW THEOREMS
- Modern Fourier Analysis
- Estimates for the Heat Kernel on SL(n,R)/ SO(n)
- Locally compact quantum groups in the von Neumann algebraic setting
- Smooth Fourier multipliers in group algebras via Sobolev dimension
- Classical Fourier Analysis
- L'algèbre de Fourier d'un groupe localement compact
- Introduction to Lie Algebras and Representation Theory
- A Sharp Version of the Hörmander Multiplier Theorem
- Lie groups beyond an introduction
This page was built for publication: A Sobolev estimate for radial 𝐿^{𝑝}-multipliers on a class of semi-simple Lie groups