Transfer operators, atomic decomposition and the Bestiary

Abstract

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.

45 pages, 2 figures

References in corpus (4)

• Besov-ish spaces through atomic decomposition
• Transfer operators and atomic decomposition
• Classic and exotic Besov spaces induced by good grids
• Spectra of expanding maps on Besov spaces