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math.CA2015
A trace theorem for Besov functions in spaces of homogeneous type
Miguel Andrés Marcos
The aim of this paper is to prove a trace theorem for Besov functions in the metric setting, generalizing a known result from A. Jonsson and H. Wallin in the Euclidean case. We sho…
math.CA2015★ 1 cited
Bessel potentials in Ahlfors regular metric spaces
Miguel Andrés Marcos
In this paper we define Bessel potentials in Ahlfors regular spaces using a Coifman type approximation of the identity, and show they improve regularity for Lipschitz, Besov and So…
math.CA2015
On Newton-Sobolev spaces
Miguel Andrés Marcos
Newton-Sobolev spaces, as presented by N. Shanmugalingam, describe a way to extend Sobolev spaces to the metric setting via upper gradients, for metric spaces with `sufficient' pat…