Gustavo Garrigós

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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 $ν$ at a point $x_{0} \in R^{d}$ , in relation with the boundary convergence at that point of the Poisson-type integral…

math.AP2024

Local cone multipliers and Cauchy-Szego projections in bounded symmetric domains

Fernando Ballesta Yagüe, Gustavo Garrigós

We show that the cone multiplier satisfies local $L^{p}$ - $L^{q}$ bounds only in the trivial range $1 \leq q \leq 2 \leq p \leq \infty$ . To do so, we suitably adapt to this setting the proof…