Notes on a theorem of Katznelson and Ornstein
Let logf′ be an absolutely continuous and f′′/f′∈Lp(S1,dℓ) for some p>1, where ℓ is Lebesgue measure. We show that there exists a subset of irrational numbers of unbounded type, such that for any element ρˆ of this subset, the linear rotation Rρˆ and the shift ft=f+tmod1, t∈[0,1) with rotation nu...
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| Main Authors: | , , |
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| Format: | Article |
| Published: |
American Institute of Mathematical Sciences
2017
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| Subjects: | |
| Online Access: | https://repo.uum.edu.my/id/eprint/23043/ http://doi.org/10.3934/dcds.2017197 |
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