Skip navigation
Skip navigation

Quasi Riesz transforms, Hardy spaces and generalized sub-Gaussian heat kernel estimates

Chen, Li


In this thesis, we mainly study Riesz transforms and Hardy spaces associated to operators. The two subjects are closely related to volume growth and heat kernel estimates. In Chapter 1, 2 and 4, we study Riesz transforms on Riemannian manifold and on graphs. In Chapter 1, we prove that on a complete Riemannian manifold, the quasi Riesz transform is always Lp bounded on for p strictly large than 1 and no less than 2. In Chapter 2, we prove that the quasi Riesz transform is also weak L1 bounded...[Show more]

CollectionsOpen Access Theses
Date published: 2014
Type: Thesis (PhD)
DOI: 10.25911/5d514c449e853
Access Rights: Open Access


File Description SizeFormat Image
b35790015-Chen_L.pdf180.71 MBAdobe PDFThumbnail

Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.

Updated:  19 May 2020/ Responsible Officer:  University Librarian/ Page Contact:  Library Systems & Web Coordinator