A Variant of Yano's Extrapolation Theorem on Hardy Spaces

2018/06/06 by Odysseas Bakas, Bakas, Odysseas
Mathematics · #Classical Analysis and ODEs (math.CA) #Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA) #math.CA #math.CV #math.FA

paper · pdf · doi:10.48550/arxiv.1806.02238

9 pages

arxiv created 2018/06/06 · arxiv updated 2018/06/07

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.

Related

• Extrapolation on Hardy spaces and applications
• A converse extrapolation theorem for translation invariant operators
• Sub-Hardy Hilbert spaces on the circle and torus
• Limiting interpolation spaces via extrapolation
• Use of abstract Hardy spaces, Real interpolation and Applications to bilinear operators