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math.AP2022★ 2 cited
Some inequalities on weighted Sobolev spaces, distance weights and the Assouad dimension
Fernando López-García, Ignacio Ojea
We study certain inequalities and a related result on weighted Sobolev spaces on bounded John domains in . Namely, we prove the existence of a right inverse for the d…
math.AP2021
Weighted discrete Hardy inequalities on trees and applications
Fernando López-García, Ignacio Ojea
In this paper, we study certain inequalities and a related result for weighted Sobolev spaces on Hölder- domains, where the weights are powers of the distance to the boundary. W…
math.AP2020
An application of the weighted discrete Hardy inequality
Giao Bui, Fernando López-García, Van Tran
In a note published in 1925, G. H. Hardy stated the inequality \begin{equation*} \sum_{n=1}^\infty \left(\frac{1}{n}\sum_{k=1}^n a_k \right)^p \leq \left(\frac{p}{p-1}\right)^p \su…