Acta mathematica scientia, Series B >
RECURRENCE FOR WEIGHTED TRANSLATIONS ON GROUPS
Received date: 2014-05-09
Revised date: 2015-06-17
Online published: 2016-04-25
Supported by
The author is supported by MOST of Taiwan (MOST 104-2115-M-142-002-).
Let G be a locally compact group, and let 1≤p<∞. We characterize topologically multiply recurrent weighted translation operators on Lp(G) in terms of the Haar measure and the weight function. We also show that there do not exist any recurrent weighted translation operators on L∞(G).
Chung-Chuan CHEN . RECURRENCE FOR WEIGHTED TRANSLATIONS ON GROUPS[J]. Acta mathematica scientia, Series B, 2016 , 36(2) : 443 -452 . DOI: 10.1016/S0252-9602(16)30011-X
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