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.

DOI

10.1007/s11118-024-10182-0

Publication Date

1-1-2024

Recommended Citation

Rano, Sumit Kumar, "Eigenfunctions of the Laplacian Satisfying Hardy-Type Estimates on Homogeneous Trees" (2024). Journal Articles. 4744.
https://digitalcommons.isical.ac.in/journal-articles/4744