TRANSFER OPERATORS ACTING ON ZYGMUND FUNCTIONS

Authors
BALADI V JIANG YP LANFORD OE
Citation
V. Baladi et al., TRANSFER OPERATORS ACTING ON ZYGMUND FUNCTIONS, Transactions of the American Mathematical Society, 348(4), 1996, pp. 1599-1615
Citations number
20
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Transactions of the American Mathematical Society → ACNP
ISSN journal
00029947
Volume
348
Issue
4
Year of publication
1996
Pages
1599 - 1615
Database
ISI
SICI code
0002-9947(1996)348:4<1599:TOAOZF>2.0.ZU;2-X
Abstract
We obtain a formula for the essential spectral radius rho(ess) of tran sfer-type operators associated with families of C-1+delta diffeomorphi sms of the line and Zygmund, or Holder, weights acting on Banach space s of Zygmund (respectively Holder) functions. In the uniformly contrac ting case the essential spectral radius is strictly smaller than the s pectral radius when the weights are positive.