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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
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作者 annalisa baldi Bruno Franchi Pierre Pansu 《Science China Mathematics》 SCIE CSCD 2019年第6期1029-1040,共12页
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 whic... 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). 展开更多
关键词 differential forms Sobolev-Poincaré INEQUALITIES HOMOTOPY formula
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A Recursive Basis for Primitive Forms in Symplectic Spaces and Applications to Heisenberg Groups
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作者 annalisa baldi Marilena BARNABEI Bruno FRANCHI 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2016年第3期265-285,共21页
This paper is divided in two parts: in Section 2, we define recursively a privileged basis of the primitive forms in a symplectic space(V^(2n), ω). Successively, in Section 3, we apply our construction in the se... This paper is divided in two parts: in Section 2, we define recursively a privileged basis of the primitive forms in a symplectic space(V^(2n), ω). Successively, in Section 3, we apply our construction in the setting of Heisenberg groups H^n, n ≥ 1, to write in coordinates the exterior differential of the so-called Rumin's complex of differential forms in H^n. 展开更多
关键词 Symplectic manifolds differential forms Heisenberg groups combinatorial functions
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本刊英文版Vol.32(2016),No.3论文摘要(英文)
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作者 annalisa baldi Marilena BARNABEI Bruno FRANCHI 《数学学报(中文版)》 CSCD 北大核心 2016年第3期I0001-I0003,共3页
A Recursive Basis for Primitive Forms in Symplectic Spaces and Applications to Heisenberg Groups Annalisa BALDI Marilena BARNABEI Bruno FRANCHI Abstract This paper is divided in two parts:in Section 2,we define recurs... A Recursive Basis for Primitive Forms in Symplectic Spaces and Applications to Heisenberg Groups Annalisa BALDI Marilena BARNABEI Bruno FRANCHI Abstract This paper is divided in two parts:in Section 2,we define recursively a privileged basis of the primitive forms in a symplectic space(V^(2n),ω).Successively,in Section 3,we 展开更多
关键词 《数学学报》 英文摘要 期刊 编辑工作
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