The Heisenberg group and its relatives in the work of Elias M. Stein
type: Item
instance of: scholarly article
title: The Heisenberg group and its relatives in the work of Elias M. Stein
zbMATH Open document ID: 1482.43011
published in: The Journal of Geometric Analysis
publication date: 2021-08-31T00:00:00Z
Mathematics Subject Classification ID: 43A80
Mathematics Subject Classification ID: 32V20
Mathematics Subject Classification ID: 35B65
Mathematics Subject Classification ID: 42B20
Mathematics Subject Classification ID: 42B37
zbMATH DE Number: 7388704
zbMATH Keywords: harmonic analysis
zbMATH Keywords: Heisenberg group
zbMATH Keywords: homogeneous group
zbMATH Keywords: nilpotent Lie group
author: Gerald B. Folland
MaRDI profile type: Publication
full work available at URL: s12220-019-00309-w
OpenAlex ID: W2989852729
cites work: Estimates for the \(\bar \partial\)-Neumann problem in pseudoconvex domains of finite type in \(\mathbb{C}^ 2\)
cites work: Q2548398
cites work: \(H^p\) spaces of several variables
cites work: Subelliptic estimates and function spaces on nilpotent Lie groups
cites work: Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group
cites work: Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
cites work: Estimates for singular convolution operators on the Heisenberg group
cites work: Necessary and sufficient conditions for solvability of the Lewy equation
cites work: Q4125200
cites work: Hypoelliptic second order differential equations
cites work: SINGULAR INTEGRALS AND THE PRINCIPAL SERIES
cites work: Intertwining operators for semisimple groups
cites work: Q5552354
cites work: Q4042093
cites work: An example of a smooth linear partial differential equation without solution
cites work: Mapping properties of the Bergman projection on convex domains of finite type
cites work: The Szegö projection on convex domains
cites work: Marcinkiewicz multipliers and multi-parameter structure on Heisenberg (-type) groups. I
cites work: Marcinkiewicz multipliers and multi-parameter structure on Heisenberg (-type) groups. II
cites work: On spectral multipliers for Heisenberg and related groups
cites work: \(L^p\)-estimates for the wave equation on the Heisenberg group
cites work: Fundamental solutions and harmonic analysis on nilpotent groups
cites work: Q3473620
cites work: Singular integrals with flag kernels and analysis on quadratic CR manifolds
cites work: Singular integrals with flag kernels on homogeneous groups, I
cites work: Algebras of Singular Integral Operators with Kernels Controlled by Multiple Norms
cites work: Estimates for the Bergman and Szegö kernels in \({\mathbb{C}}^ 2\)
cites work: Lectures on Pseudo-Differential Operators: Regularity Theorems and Applications to Non-Elliptic Problems. (MN-24)
cites work: The \(\square_b\)-heat equation on pseudoconvex manifolds of finite type in \(\mathbb{C}^2\)
cites work: The \(\overline\partial_b\)-complex on decoupled boundaries in \(\mathbb C^n\)
cites work: Boundary behavior of functions holomorphic in domains of finite type
cites work: Balls and metrics defined by vector fields. I: Basic properties
cites work: Estimates for the Bergman and Szegö projections on strongly pseudo-convex domains
cites work: Harmonic analysis on nilpotent groups and singular integrals. I: Oscillatory integrals
cites work: Harmonic analysis on nilpotent groups and singular integrals. II: Singular kernels supported on submanifolds
cites work: Harmonic analysis on nilpotent groups and singular integrals. III: Fractional integration along manifolds
cites work: Hypoelliptic differential operators and nilpotent groups
cites work: Interpolation of Linear Operators
cites work: Q5607484
cites work: Boundary Behavior of Holomorphic Functions of Several Complex Variables. (MN-11)
cites work: Singular integrals and estimates for the Cauchy-Riemann equations
cites work: An example on the Heisenberg group related to the Lewy operator
cites work: On the theory of harmonic functions of several variables
Wikidata QID: Q126743973
DOI: 10.1007/S12220-019-00309-W
description: scientific article; zbMATH DE number 7388704