Local Hardy spaces and quadratic estimates for Dirac type operators on Riemannian manifolds
The connection between quadratic estimates and the existence of a bounded holomorphic functional calculus of an operator provides a framework for applying harmonic analysis to the theory of differential operators. This is a generalization of the connection between Littlewood--Paley--Stein estimates and the functional calculus provided by the Fourier transform. We use the former approach in this thesis to study first-order differential operators on Riemannian manifolds. The theory developed is...[Show more]
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|02Whole_Morris.pdf||Whole Thesis||964.74 kB||Adobe PDF|
|01Front_Morris.pdf||Front Matter||76.33 kB||Adobe PDF|
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