L^1-Poincaré and Sobolev inequalities for differential forms in Euclidean spaces Dedicated to Professor Jean-Yves Chemin on the Occasion of His 60th Birthday

作     者：Annalisa Baldi Bruno Franchi Pierre Pansu 

作者机构：Dipartimento di Matematica Università di Bologna Laboratoire de Mathématiques d'Orsay Université Paris-Sud CNRSUniversité Paris-Saclay 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2019年第62卷第6期

页      面：1029-1040页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：supported by Funds for Selected Research Topics from the University of Bologna MAnET Marie Curie Initial Training Network GNAMPA (Gruppo Nazionale per l’Analisi Matematica, la Probabilità e le loro Applicazioni) of INdAM (Istituto Nazionale di Alta Matematica "F. Severi"), Italy PRIN (Progetti di Ricerca di Rilevante Interesse Nazionale) of the MIUR (Ministero dell’Istruzione dell’Università e della Ricerca), Italy supported by MAnET Marie Curie Initial Training Network, Agence Nationale de la Recherche (Grant Nos. ANR-10-BLAN 116-01 GGAA and ANR-15-CE40-0018 SRGI) the hospitality of Isaac Newton Institute, of EPSRC (Engineering and Physical Sciences Research Council) (Grant No. EP/K032208/1) and Simons Foundation 

主　　题：differential forms Sobolev-Poincaré inequalities homotopy formula 

摘      要：In this paper, we prove Poincaré and Sobolev inequalities for differential forms in L^1(R^n). The singular integral estimates that it is possible to use for L^p, p 1, are replaced here with inequalities which go back to Bourgain and Brezis(2007).