?-supercyclicity of families of translates in weighted L-spaces on locally compact groups
نویسندگان
چکیده
Let ? be a weight function defined on locally compact group G, 1?p<+?, S?G and let us assume that for any s?S, the left translation operator Ts is continuous from weighted Lp-space Lp(G,?) into itself. For given set ??C, vector f?Lp(G,?) said to (?,S)-dense if {?Tsf:???,s?S} dense in Lp(G,?). In this paper, we characterize existence of vectors terms ?.
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2021
ISSN: ['0022-247X', '1096-0813']
DOI: https://doi.org/10.1016/j.jmaa.2020.124709