Endpoint for the div-curl lemma in Hardy spaces
| Autor: | Justin Feuto, Sandrine Grellier, Aline Bonami |
|---|---|
| Přispěvatelé: | Mathématiques - Analyse, Probabilités, Modélisation - Orléans (MAPMO), Centre National de la Recherche Scientifique (CNRS)-Université d'Orléans (UO), Université de Cocody, ANR-07-BLAN-0247,AHPI,Analyse Harmonique et Problèmes Inverses(2007) |
| Rok vydání: | 2021 |
| Předmět: |
Pure mathematics
Statistics::Theory Differential form General Mathematics Div-curl lemma 58A10 Mathematics::Analysis of PDEs Mathematics::Classical Analysis and ODEs differential forms Hardy-spaces [MATH.MATH-CA]Mathematics [math]/Classical Analysis and ODEs [math.CA] 01 natural sciences symbols.namesake 42B30 (58A10) 42B30 (Primary) 58A10 (Secondary) [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] 42B30 0101 mathematics Exterior algebra Mathematics Curl (mathematics) div-curl lemma Mathematics::Functional Analysis Mathematics - Complex Variables Hardy-Orlicz spaces 010102 general mathematics Mathematical analysis [MATH.MATH-CV]Mathematics [math]/Complex Variables [math.CV] Hardy space Differential forms 010101 applied mathematics Mathematics - Classical Analysis and ODEs symbols differential form |
| Zdroj: | Recercat. Dipósit de la Recerca de Catalunya instname Dipòsit Digital de Documents de la UAB Universitat Autònoma de Barcelona Publicacions Matemàtiques; Vol. 54, Núm. 2 (2010); p. 341-358 Publicacions Matematiques (Barcelona) Publicacions Matematiques (Barcelona), 2010, pp.341-358 Publ. Mat. 54, no. 2 (2010), 341-358 Recercat: Dipósit de la Recerca de Catalunya Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| Popis: | We give a $\operatorname{div}$-$\operatorname{curl}$ type lemma for the wedge product of closed differential forms on ${\mathbb R}^n$ when they have coefficients respectively in a Hardy space and $L^\infty$ or $\mathit{BMO}$. In this latter case, the wedge product belongs to an appropriate Hardy-Orlicz space. |
| Databáze: | OpenAIRE |
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