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math.FA2021
Coercive Inequalities in Higher-Dimensional Anisotropic Heisenberg Group
Esther Bou Dagher, Boguslaw Zegarlinski
In the setting of higher-dimensional anisotropic Heisenberg group, we compute the fundamental solution for the sub-Laplacian, and we prove Poincaré and Logarithmic Sobolev ineq…
math.FA2021★ 3 cited
Coercive Inequalities and U-Bounds
Esther Bou Dagher, Boguslaw Zegarlinski
We prove Poincaré and Log-Sobolev inequalities for probability measures on step-two Carnot groups.
math.OA2021
KMS Dirichlet forms, coercivity and super-bounded Markovian semigroups on von Neumann algebras
Fabio E. G. Cipriani, Boguslaw Zegarlinski
We introduce a construction of Dirichlet forms on von Neumann algebras M associated to any eigenvalue of the Araki modular Hamiltonian of a faithful normal non tracial state, provi…