Characterization of the Lp-range of the Poisson transform on the Octonionic Hyperbolic Plane
Abdelhamid Boussejra, Nadia Ourchane
TL;DR
This paper characterizes the Lp-range of the Poisson transform on the boundary of the octonionic hyperbolic plane using Hardy-type norms, advancing understanding of harmonic analysis on exceptional symmetric spaces.
Contribution
It provides a new image characterization of the Poisson transform for Lp functions on the boundary of the octonionic hyperbolic plane, a novel result in this area.
Findings
Established a Hardy-type norm characterization of the Poisson transform
Extended harmonic analysis techniques to the octonionic hyperbolic setting
Provided new insights into boundary value problems on exceptional symmetric spaces
Abstract
We give an image characterization of the Poisson transform of L-p functions on the boundary of the exceptional symmetric space by using the Hardy-type norm.
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Taxonomy
TopicsAdvanced Mathematical Physics Problems · Mathematical Analysis and Transform Methods · Advanced Harmonic Analysis Research