Higher order Riesz transforms on noncompact symmetric spaces

Abstract

In this note we prove various sharp boundedness results on suitable Hardy type spaces for Riesz transforms of arbitrary order on noncompact symmetric spaces of arbitrary rank.

v2: the first version has been revised and splitted up in two papers, of which this new version is one part

Cited by in corpus (2)

• Inclusions and noninclusions of Hardy type spaces on certain nondoubling manifolds
• Hardy spaces and Riesz transforms on a Lie group of exponential growth