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math.AP2024
On the Sobolev boundedness of vector fields on compact Riemannian manifolds
Duván Cardona, Alexandre Kirilov, Wagner A. A. de Moraes +1
We analyze the sharpness of the Sobolev order for left-invariant vector fields on compact Riemannian manifolds. Utilizing techniques from pseudo-differential operator theory and mi…
math.AP2024
Vector Valued Gårding Inequality for pseudo-differential operators on compact homogeneous manifolds
André Kowacs, Michael Ruzhansky
We prove sufficient conditions in order to obtain a sharp Gårding inequality for pseudo-differential operators acting on vector-valued functions on compact Lie groups. As a consequ…