NON-UNIFORMLY LOCAL TENT SPACES

We develop a theory of 'non-uniformly local' tent spaces on metric measure spaces. As our main result, we give a remarkably simple proof of the atomic decomposition.

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Bibliographic Details
Published in:Publicacions matemàtiques 2015-01, Vol.59 (1), p.245-270
Main Authors: Amenta, Alex, Kemppainen, Mirko
Format: Article
Language:English
Subjects:
42B35
58J60
Abstract spaces
admissible balls
atoms
Dyadics
Euclidean space
Harmonic analysis
Interpolation
Local tent spaces
Martingales
Mathematical functions
Mathematical lattices
Mathematical theorems
Riemann manifold
weighted measures
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Description
Summary:We develop a theory of 'non-uniformly local' tent spaces on metric measure spaces. As our main result, we give a remarkably simple proof of the atomic decomposition.
ISSN:0214-1493
2014-4350
DOI:10.5565/PUBLMAT_59115_09