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math.DG2025
Isoperimetric and Michael-Simon inequalities on manifolds with asymptotically nonnegative curvature
Debora Impera, Stefano Pigola, Michele Rimoldi +1
We establish the validity of the isoperimetric inequality (or equivalently, an Euclidean-type Sobolev inequality) on manifolds with asymptotically non-negative sectional curv…
math.FA2025
Hardy--Littlewood maximal operators on certain manifolds with bounded geometry
Stefano Meda, Stefano Pigola, Alberto G. Setti +1
In this paper we study the boundedness of the centred and the uncentred Hardy--Littlewood maximal operators on certain Riemannian manifolds with bounded geometry. Our results…