Publication: Lebesgue points of measures and non tangential convergence of Poisson-Hermite integrals
Authors
Flores, Guillermo ; Garrigós Aniorte, Gustavo Adolfo ; Viviani, Beatriz
item.page.secondaryauthor
item.page.director
Publisher
Springer
publication.page.editor
publication.page.department
DOI
https://doi.org/10.1007/s00028-025-01079-5
item.page.type
info:eu-repo/semantics/article
Description
Abstract
We study differentiability conditions on a complex measure \nu at a point x_0, in relation with the boundary convergence at that point of the Poisson-type integral P_t\nu = exp(-t\sqrt L) \nu , where L is the Hermite operator. In particular, we show that x_0 is a Lebesgue point for \nu iff a slightly stronger notion than non-tangential convergence holds. We also show non-tangential convergence when x_0 is a sigma-point of \nu , a weaker notion than Lebesgue point, which for d=1 coincides with the classical Fatou condition
publication.page.subject
Citation
J. Evol. Equ. 25, 50 (2025).
item.page.embargo
Collections
Ir a Estadísticas
Este ítem está sujeto a una licencia Creative Commons. http://creativecommons.org/licenses/by-nc-nd/4.0/