Characterizations of Hardy-Orlicz spaces of quasiconformal mappings

TL;DR

This paper extends the theory of quasiconformal mappings by defining Hardy-Orlicz spaces using general growth functions and provides multiple characterizations of these new spaces.

Contribution

It introduces Hardy-Orlicz spaces for quasiconformal mappings, generalizing existing H^p-theory with a broader class of growth functions and establishing their characterizations.

Findings

Defined Hardy-Orlicz spaces for quasiconformal mappings

Proved various characterizations of these spaces

Extended classical H^p-theory to more general growth functions

Abstract

An H^p-theory of quasiconformal mappings on B^n has already been established. By replacing t^p with a general increasing growth function {\psi}(t) we define the Hardy-Orlicz spaces of quasiconformal mappings and prove various characterizations of these spaces.