The thesis deals with two quite different problems: the first is the pointwise convergence of Bochner-Riesz means of functions with some smoothness and the Hausdorff dimension of the divergence set, the second is the development of new Hardy type spaces in order to obtain endpoint estimates for singular integral operators releted to the Laplace-Beltrami operator on Riemannian manifolds.
(2012). Bochner-riesz means of eigenfunction expansions and local hardy spaces on manifolds with bounded geometry. (Tesi di dottorato, Università degli Studi di Milano-Bicocca, 2012).
Bochner-riesz means of eigenfunction expansions and local hardy spaces on manifolds with bounded geometry
VOLPI, SARA MARIA
2012
Abstract
The thesis deals with two quite different problems: the first is the pointwise convergence of Bochner-Riesz means of functions with some smoothness and the Hausdorff dimension of the divergence set, the second is the development of new Hardy type spaces in order to obtain endpoint estimates for singular integral operators releted to the Laplace-Beltrami operator on Riemannian manifolds.File in questo prodotto:
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