Fatou Theorem and Its Converse for Positive Eigenfunctions of the Laplace–Beltrami Operator on Harmonic NA Groups
We prove a Fatou-type theorem and its converse for certain positive eigenfunctions of the
Laplace–Beltrami operator L on a Harmonic NA group. We show that a positive …
Laplace–Beltrami operator L on a Harmonic NA group. We show that a positive …
Around Fatou Theorem and Its Converse on Certain Lie Groups
J Sarkar - 2021 - dspace.isical.ac.in
A classical result due to Fatou relates the radial and nontangential behaviour of the Poisson
integral of suitable measures on the real line with certain differentiability properties of the …
integral of suitable measures on the real line with certain differentiability properties of the …