On some extremal problems in certain harmonic function spaces of several variables related to mixed norm spaces

TL;DR

This paper presents new estimates for distances in harmonic function spaces of multiple variables, extending previous results in the unit ball and upper half-space, with implications for mixed norm spaces.

Contribution

It introduces novel distance estimates in harmonic function spaces related to mixed norm spaces, broadening the understanding of these spaces in multiple variables.

Findings

New distance estimates in harmonic function spaces.

Extensions of previous assertions in unit ball and upper half-space.

Implications for mixed norm space analysis.

Abstract

We provide some new estimates for distances in harmonic function spaces of several variables related to mixed norm spaces.Some of them extend previously known assertions in this direction in the unit ball and upperhalfspace.