A study of Besov-Lipschitz and Triebel-Lizorkin spaces using non-smooth kernels

We consider the problem of characterising Besov-Lipshitz and Triebel-Lizorkin spaces using kernels with limited smoothness and decay. This extends the work of H.-Q. Bui et al in [4] and [5] from kernels in S to more general kernels, including the Poisson kernel. We overcome the difficulty of definin...

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Bibliographic Details
Main Author: Candy, Timothy Lars
Language:en
Published: University of Canterbury. Mathematics and Statistics 2009
Subjects:
Online Access:http://hdl.handle.net/10092/2854