Eigenfunctions of the Laplacian Satisfying Hardy-Type Estimates on Homogeneous Trees

Authors

• Sumit Kumar Rano, Indian Statistical Institute, Kolkata

Article Type

Research Article

Publication Title

Potential Analysis

Abstract

This work deals with the characterization of eigenfunctions of the Laplacian L on a homogeneous tree X, which satisfy certain growth conditions. More precisely, we shall prove that the Poisson transform on X provides an one-to-one correspondence between the subspace of all Hardy-type eigenfunctions of L on X and the Lebesgue spaces (possibly the set of all complex measures) on the boundary of X.

First Page

579

Last Page

599

DOI

10.1007/s11118-024-10182-0

Publication Date

8-1-2025

Recommended Citation

Rano, Sumit Kumar, "Eigenfunctions of the Laplacian Satisfying Hardy-Type Estimates on Homogeneous Trees" (2025). Journal Articles. 5333.
https://digitalcommons.isical.ac.in/journal-articles/5333