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math.AP2026
Lebesgue points of measures and non tangential convergence of Poisson-Hermite integrals
Guillermo Flores, Gustavo Garrigós, Beatriz Viviani
We study differentiability conditions on a complex measure at a point , in relation with the boundary convergence at that point of the Poisson-type integral…
math.AP2022
Pointwise convergence of fractional powers of Hermite type operators
Guillermo Flores, Gustavo Garrigos, Teresa Signes +1
When is the Hermite or the Ornstein-Uhlenbeck operator, we find minimal integrability and smoothness conditions on a function so that the fractional power is we…
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…