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Cesàro Bounded Weighted Backward Shift 认领
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作者 Hui Gao 《应用数学与应用物理(英文)》 2021年第1期197-209,共13页
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 <img src=&quo... 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 <img src="Edit_7232e0dc-07ab-41c5-8657-a49f0463b47c.bmp" alt="" />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 <img src="Edit_799dadb7-40ab-48f9-bae3-191378f96164.bmp" alt="" />. 展开更多
关键词 Cesàro Boundedness Absolutely Cesàro Boundedness Backward Weighted Shift
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