On the heat kernel of the Rumin complex and Calderón reproducing formula
From MaRDI portal
Publication:6585790
DOI10.1515/AGMS-2024-0002MaRDI QIDQ6585790
Yannick Sire, Bruno Franchi, Paolo Ciatti
Publication date: 12 August 2024
Published in: Analysis and Geometry in Metric Spaces (Search for Journal in Brave)
Differential forms in global analysis (58A10) Analysis on other specific Lie groups (43A80) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Currents in global analysis (58A25)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- A recursive basis for primitive forms in symplectic spaces and applications to Heisenberg groups
- Gagliardo-Nirenberg inequalities for differential forms in Heisenberg groups
- Hypoellipticity, fundamental solution and Liouville type theorem for matrix-valued differential operators in Carnot groups
- Regular submanifolds, graphs and area formula in Heisenberg groups
- Calderón reproducing formulas and applications to Hardy spaces
- Fundamental solution and sharp \(L^p\) estimates for Laplace operators in the contact complex of Heisenberg groups
- Pseudodifferential operators on groups with dilations
- Subelliptic estimates and function spaces on nilpotent Lie groups
- Differential forms on contact manifolds
- Sub-Riemannian limit of the differential form spectrum of contact manifolds
- Compensated compactness and Hardy spaces
- Gaussian heat kernel estimates: from functions to forms
- Graded hypoellipticity of BGG sequences
- Compensated compactness for differential forms in Carnot groups and applications
- The heat asymptotics on filtered manifolds
- \(L^1\)-Poincaré inequalities for differential forms on Euclidean spaces and Heisenberg groups
- \(L^1\)-Poincaré and Sobolev inequalities for differential forms in Euclidean spaces
- Intertwining operators for semisimple groups
- Intrinsic Lipschitz graphs within Carnot groups
- Aspects of Sobolev-type inequalities
- Hardy space of exact forms on $\mathbb {R}^N$
- WAVE AND MAXWELL'S EQUATIONS IN CARNOT GROUPS
- Heisenberg calculus and spectral theory of hypoelliptic operators on Heisenberg manifolds
- Non-divergence equations structured on Hörmander vector fields: heat kernels and Harnack inequalities
- Stratified Lie Groups and Potential Theory for their Sub-Laplacians
- Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
- Differential geometry on C-C spaces and application to the Novikov-Shubin numbers of nilpotent Lie groups
- Lipschitz graphs and currents in Heisenberg groups
- Sub-Riemannian Limit of the Differential Form Heat Kernels of Contact Manifolds
- Compensated compactness in the contact complex of Heisenberg groups
- DIV–CURL TYPE THEOREM, H-CONVERGENCE AND STOKES FORMULA IN THE HEISENBERG GROUP
- Analysis of the Hodge Laplacian on the Heisenberg group
- Analytic semigroups and optimal regularity in parabolic problems
- Riemannian geometry
- Multicomplexes on Carnot groups and their associated spectral sequence
- An alternative construction of the Rumin complex on homogeneous nilpotent Lie groups
This page was built for publication: On the heat kernel of the Rumin complex and Calderón reproducing formula
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6585790)