TITLE:
Cesàro Bounded Weighted Backward Shift
AUTHORS:
Hui Gao
KEYWORDS:
Cesàro Boundedness, Absolutely Cesàro Boundedness, Backward Weighted Shift
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.9 No.1,
January
29,
2021
ABSTRACT: 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 .