Functional calculus for a class of complex elliptic operators in dimension one (and applications to some complex elliptic equations in dimension two).
type: Item
instance of: scholarly article
title: Functional calculus for a class of complex elliptic operators in dimension one (and applications to some complex elliptic equations in dimension two).
zbMATH Open document ID: 0819.35028
author: Pascal Auscher
author: Philippe Tchamitchian
publication date: 1995-07-12T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/75136
Mathematics Subject Classification ID: 35J15
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 42B30
Mathematics Subject Classification ID: 47A20
zbMATH DE Number: 773326
zbMATH Keywords: Calderón-Zygmund operators
zbMATH Keywords: weak maximum principle
zbMATH Keywords: square root of elliptic operators
zbMATH Keywords: functional calculus
zbMATH Keywords: Hardy spaces
MaRDI profile type: Publication
OpenAlex ID: W2040049594
cites work: Heat kernel of complex elliptic operators
cites work: Q3359258
cites work: Polynomial growth estimates for multilinear singular integral operators
cites work: Domaine de la racine carrée de certains opérateurs différentiels accrétifs
cites work: L'intégrale de Cauchy définit un opératuer borne sur \(L^ 2 \)pour les courbes lipschitziennes
cites work: Some new function spaces and their applications to harmonic analysis.
cites work: Q3492187
cites work: Extensions of Hardy spaces and their use in analysis
cites work: Q4744632
cites work: Wavelets and singular integrals on curves and surfaces
cites work: Opérateurs de Calderón-Zygmund, fonctions para-accrétives et interpolation. (Calderón-Zygmund operators, para-accretive functions and interpolation)
cites work: Multilinear Littlewood-Paley estimates with applications to partial differential equations
cites work: \(H^p\) spaces of several variables
cites work: Q4000004
cites work: Q3700300
cites work: Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
cites work: Q5187597
cites work: Q3671563
cites work: Q5526485
cites work: Q4305610
cites work: Q3782283
cites work: The Neumann problem for elliptic equations with non-smooth coefficients
cites work: Absence of De Giorgi-type theorems for strongly elliptic equations with complex coefficients
cites work: Q3210416
cites work: Q3772766
cites work: Q3709351
cites work: Q3995454
cites work: Q5518064
cites work: Square Function Estimates and the T(b) Theorem
cites work: Q3207428
DOI: 10.5802/AIF.1472
published in: Annales de l’institut Fourier
description: scientific article; zbMATH DE number 773326