Sharp theorems on multipliers and distances in harmonic function spaces in higher dimension

TL;DR

This paper establishes new sharp theorems on multipliers and distance estimates within harmonic function spaces in higher-dimensional unit balls, advancing the understanding of harmonic analysis in multiple dimensions.

Contribution

It introduces novel sharp results on multipliers and distance estimates in harmonic function spaces in higher dimensions, extending previous work to more complex settings.

Findings

New sharp theorems on multipliers in harmonic spaces

Precise distance estimates in higher-dimensional harmonic function spaces

Enhanced understanding of harmonic analysis in R^n

Abstract

We present new sharp results concerning multipliers and distance estimates in various spaces of harmonic functions in the unit ball of $R^n$.