TENT SPACE BOUNDEDNESS VIA EXTRAPOLATION

Abstract

We study the action of operators on tent spaces such as maximal operators, Calder{\'o}n-Zygmund operators, Riesz potentials. We also consider singular non-integral operators. We obtain boundedness as an application of extrapolation methods in the Banach range. In the non Banach range, boundedness results for Calder{\'o}n-Zygmund operators follows by using an appropriate atomic theory. We end with some consequences on amalgalm spaces.

Locations

• arXiv (Cornell University) - View - PDF
• HAL (Le Centre pour la Communication Scientifique Directe) - View - PDF