Author(s)

Hui Gao

Hebei University of Technology, Tianjin, China.

In this paper, we give a criterion of the absolutely Cesàro bounded weighted backward shift in spirit of the comparison method. Our approach is to construct the proper product of weight functions by the fraction of two monomials of the indexes, then we apply proper scaling to give Cesàro boundedness. In particular, we present a new example of non Cesàro bounded weighted backward shift on .

Cesàro Boundedness, Absolutely Cesàro Boundedness, Backward Weighted Shift

Gao, H. (2021) Cesàro Bounded Weighted Backward Shift. Journal of Applied Mathematics and Physics, 9, 197-209. doi: 10.4236/jamp.2021.91014.