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math.AP2024
A multiplicative inequality of Riesz transform type on general Riemannian manifolds
El Maati Ouhabaz
Given any complete Riemannian manifold , we prove that for every and every , $$ \| \nabla f \|_p^2 \le C_ε\| Δ^{\frac{1}{2} + ε} f \|_{p}\| Δ^{\frac{1}{2} -…
math.AP2024★ 2 cited
Commutator estimates and Poisson bounds for Dirichlet-to-Neumann operators
A. F. M. ter Elst, E. M. Ouhabaz
We consider the Dirichlet-to-Neumann operator associated with a general elliptic operator \[ {\cal A} u = - \sum_{k,l=1}^d \partial_k (c_{kl}\, \partial_l u) + \sum_{k=1…