Transference for Banach space representations of nilpotent Lie groups. II. Pedersen multipliers

DOI10.1007/s12220-021-00728-8zbMath1490.43006OpenAlexW3176991666WikidataQ115376733 ScholiaQ115376733MaRDI QIDQ2665615

José E. Galé, Daniel Beltiţă, Ingrid Beltiţă

Publication date: 19 November 2021

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-021-00728-8

zbMATH Keywords

nilpotent Lie grouptwisted convolutionmultiplierBanach space representationPedersen transform

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Nilpotent and solvable Lie groups (22E25) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Algebras of symbols associated with the Weyl calculus for Lie group representations
• On Hermite pseudo-multipliers
• Modulation spaces of symbols for representations of nilpotent Lie groups
• Convolution operators on groups
• Estimates for translation invariant operators in \(L^p\) spaces
• The Weyl transform and bounded operators on \(L^p(\mathbb{R}^n)\).
• On a connection between nilpotent groups and oscillatory integrals associated to singularities
• Matrix coefficients and a Weyl correspondence for nilpotent Lie groups
• Reduced heat kernels on nilpotent Lie groups
• On Kirillov's lemma for nilpotent Lie algebras
• Twisted group algebras I, II
• Criteria for Solvability of Left Invariant Operators on Nilpotent Lie Groups
• Smooth vectors and Weyl-Pedersen calculus for representations of nilpotent Lie groups
• Twisted convolutions with Calderón-Zygmund kernels.
• Explicit star products on orbits of nilpotent Lie groups with square integrable representations
• Transference for Banach space representations of nilpotent Lie groups. Part 1. Irreducible representations
• Boundedness for Weyl–Pedersen Calculus on Flat Coadjoint Orbits
• Multipliers and tensor products of $L^{p}$-spaces of locally compact groups
• The Theory of p-Spaces with an Application to Convolution Operators