摘要
Let G be a locally compact group, and let 1≤p〈∞. We characterize topolog- ically multiply recurrent weighted translation operators on LP(G) in terms of the Haax mea- sure and the weight function. We also show that there do not exist any recurrent weighted translation operators on L^∞ (G).
Let G be a locally compact group, and let 1≤p〈∞. We characterize topolog- ically multiply recurrent weighted translation operators on LP(G) in terms of the Haax mea- sure and the weight function. We also show that there do not exist any recurrent weighted translation operators on L^∞ (G).
基金
supported by MOST of Taiwan(MOST104-2115-M-142-002-)