3 papers
math.FA2025
Generalised Hajłasz-Besov spaces on -spaces
Joaquim Martin, Walter A. Ortiz
An space is a doubling measure metric space with the additional property that it has a reverse doubling property. In this paper we introduce a new class of Hajłasz-Besov s…
math.FA2022
Non-collapsing condition and Sobolev embeddings for Hajłasz-Besov spaces
Joaquim Martin, Walter A. Ortiz
In this paper we will focus on understanding the relation between Sobolev embedding theorems for Hajłasz-Besov spaces defined on a doubling metric measure space and the n…
math.FA2021
Sobolev embeddings for Fractional Hajłasz-Sobolev spaces in the setting of rearrangement invariant spaces
Joaquim Martin, Walter A. Ortiz
We obtain symmetrization inequalities in the context of Fractional Hajlasz-Sobolev spaces in the setting of rearrangement invariant spaces and prove that for a large class of measu…