arXiv:1903.06976 Abstract | arXiv Analytics

arXiv:1903.06976 [math.DS]Abstract References Reviews Resources

Transfer operators, atomic decomposition and the Bestiary

Published 2019-03-16Version 1

Arbieto and S. recently used atomic decomposition to study transfer operators. We give a long list of old and new expanding dynamical systems for which those results can be applied, obtaining the quasi-compactness of transfer operator acting on Besov spaces of measure spaces with a good grid.

Comments: 45 pages, 2 figures

Categories: math.DS, math.AP, math.CA, math.FA

Subjects: 37C30, 37D20, 37C40, 30H25, 37D35, 37A05, 37A25, 37A30, 37A50, 37E05, 47A35, 47B65, 60F05, 60F17, 42B35, 42B35, 42C15

Keywords: atomic decomposition, study transfer operators, measure spaces, besov spaces, long list

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