Ryan Alvarado

collaborators

3 papers

math.FA2026

Real-Variable Theory of Hardy--Lorentz Spaces on Quasi-Ultrametric Spaces of Homogeneous Type with Reverse-Doubling Property

Chenfeng Zhu, Ryan Alvarado, Xianjie Yan +2

Let $(X, q, I^¼)$ be an ultra-RD-space with upper dimension $n \in (0, \infty)$ ; i.e., it is a quasi-ultrametric space of homogeneous type whose measure $I^¼$ satisfies an additi…

math.FA2026

Embeddings of variable Sobolev, Besov, and Triebel-Lizorkin spaces on metric measure spaces

Ryan Alvarado, MichaÅ Dymek, PrzemysÅaw GÃ³rka +1

Sobolev-type embeddings on metric measure spaces encode a subtle interaction between the analytic regularity of functions and the geometry of the underlying domain space. In this p…

math.CA2025

On the dimension distortion under fractionally smooth mappings

Ryan Alvarado, Efstathios Konstantinos Chrontsios Garitsis

We determine the extent to which certain classes of fractionally `smooth' continuous mappings between metric spaces distort various dimensions, including the Hausdorff, upper Minko…