3 papers
math.CA2023
A sufficient condition for Haar multipliers in Triebel-Lizorkin spaces
Gustavo Garrigós, Andreas Seeger, Tino Ullrich
We consider Haar multiplier operators acting on Sobolev spaces, and more generally Triebel-Lizorkin spaces , for indices in which the Haar system is no…
math.FA2022
Haar frame characterizations of Besov-Sobolev spaces and optimal embeddings into their dyadic counterparts
Gustavo Garrigós, Andreas Seeger, Tino Ullrich
We study the behavior of Haar coefficients in Besov and Triebel-Lizorkin spaces on , for a parameter range in which the Haar system is not an unconditional basis. First…
math.AP2019
Mean value formulas for Ornstein-Uhlenbeck and Hermite temperatures
Guillermo Flores, Gustavo Garrigós
We obtain explicit mean value formulas for the solutions of the diffusion equations associated with the Ornstein-Uhlenbeck and Hermite operators. From these, we derive various usef…