A note on -point and nontangential convergence
J Sarkar - arXiv preprint arXiv:2101.05660, 2021 - arxiv.org
In this article, we generalize a theorem of Victor L. Shapiro concerning nontangential
convergence of the Poisson integral of a $ L^ p $-function. We introduce the notion of …
convergence of the Poisson integral of a $ L^ p $-function. We introduce the notion of …
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 …
[图书][B] The Generalization of Fatou's Theorem and Its Converse
T Alsmadi - 2023 - search.proquest.com
The Generalization of Fatou’s Theorem and Its Converse The Generalization of Fatou’s
Theorem and Its Converse Abstract We consider a function K(x) on ℝ n which satisfies certain …
Theorem and Its Converse Abstract We consider a function K(x) on ℝ n which satisfies certain …
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 …