A Variant of Yano's Extrapolation Theorem on Hardy Spaces

TL;DR

This paper presents a new variant of Yano's extrapolation theorem tailored for sublinear operators on Hardy spaces over the torus, expanding the theoretical framework of harmonic analysis.

Contribution

It introduces a novel version of Yano's extrapolation theorem specifically for sublinear operators on Hardy spaces over the torus.

Findings

Established a variant of Yano's extrapolation theorem

Extended the theorem to Hardy spaces over the torus

Provided new insights into sublinear operators in harmonic analysis

Abstract

In this note we prove a variant of Yano's classical extrapolation theorem for sublinear operators acting on analytic Hardy spaces over the torus.