2 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.FA2023
A note on rearrangement Poincaré inequalities and the doubling condition
Joaquim Martín, Walter A. Ortiz
We introduce Poincaré type inequalities based on rearrangement invariant spaces in the setting of metric measure spaces and analyze when they imply the doubling condition on the un…