English

Generalized H\"{o}lder's Inequality in Orlicz Spaces

Functional Analysis 2018-09-05 v1

Abstract

Orlicz spaces are generalizations of Lebesgue spaces. The sufficient and necessary conditions for generalized H\"{o}lder's inequality in Lebesgue spaces and in weak Lebesgue spaces are well known. The aim of this paper is to present sufficient and necessary conditions for generalized H\"{o}lder's inequality in Orlicz spaces and in weak Orlicz spaces, which are obtained through estimates for characteristic functions of balls in Rn\R^n.

Keywords

Cite

@article{arxiv.1809.00788,
  title  = {Generalized H\"{o}lder's Inequality in Orlicz Spaces},
  author = {Ifronika and Al Azhary Masta and Muhammad Nur and Hendra Gunawan},
  journal= {arXiv preprint arXiv:1809.00788},
  year   = {2018}
}