Molecules associated to Hardy spaces with pointwise variable anisotropy

TL;DR

This paper introduces molecules linked to Hardy spaces with pointwise variable anisotropy and demonstrates their representation as sums of atoms, expanding the theoretical framework of anisotropic Hardy spaces.

Contribution

It presents a novel concept of molecules for Hardy spaces with variable anisotropy and proves their atomic decomposition, advancing the understanding of anisotropic harmonic analysis.

Findings

Molecules can be expressed as sums of atoms in variable anisotropic Hardy spaces.

Theoretical foundation for molecules in Hardy spaces with pointwise variable anisotropy.

Enhanced atomic decomposition techniques for anisotropic Hardy spaces.

Abstract

In this paper we introduce molecules associated to Hardy spaces with pointwise variable anisotropy, and prove that each molecule can be represented as a sum of atoms.