Boundedness and Compactness of a Certain Class of Matrix Operators with Variable Limits of Summation

2020

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DOI 10.32523/2077-9879-2020-11-4-66-75
Data confidence 70 medium
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Abstract

Necessary and sufficient conditions for the boundedness and compactness of the matrix operator of the form (Af)n = ∑β(n)k=α(n) an,kfk, from lp,v to lq,u when 1 < p ≤ q