English

Sharp Riesz-Fej\'er inequality for harmonic Hardy spaces

Functional Analysis 2023-05-24 v2 Complex Variables

Abstract

We prove sharp version of Riesz-Fej\'er inequality for functions in harmonic Hardy space hp(D)h^p(\mathbb{D}) on the unit disk D\mathbb{D}, for p>1,p>1, thus extending the result from \cite{KPK} and resolving the posed conjecture.

Keywords

Cite

@article{arxiv.1911.06429,
  title  = {Sharp Riesz-Fej\'er inequality for harmonic Hardy spaces},
  author = {Petar Melentijević and Vladimir Božin},
  journal= {arXiv preprint arXiv:1911.06429},
  year   = {2023}
}

Comments

5 pages; this version has been accepted for publication in Potential Analysis

R2 v1 2026-06-23T12:16:40.762Z