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math.AP2021
Lower bounds for the spectral gap and an extension of the Bonnet-Myers theorem
Michel Bonnefont, El Maati Ouhabaz
On a fairly general class of Riemannian manifolds M, we prove lower estimates in terms of the Ricci curvature for the spectral bound (when M has infinite volume) and for the spectr…
math.AP2021
Interpolation for analytic families of multilinear operators on metric measure spaces
Loukas Grafakos, El Maati Ouhabaz
Let (X j , d j , j), j = 0, 1,. .. , m be metric measure spaces. Given 0 < p for = 1,. .. , m and an analytic family of multilinear operators T z : L p 1…