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

Ainur Temirkhanova; Aigul Beszhanova

doi:10.32523/2077-9879-2020-11-4-66-75

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

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Authors

Ainur Temirkhanova
Aigul Beszhanova

DOI:

https://doi.org/10.32523/2077-9879-2020-11-4-66-75

Keywords:

matrix operator, discrete Hardy type operator, boundedness, compactness

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 <∞ are given.

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Published

2020-12-30

How to Cite

Temirkhanova, A., & Beszhanova, A. (2020). Boundedness and Compactness of a Certain Class of Matrix Operators with Variable Limits of Summation. Eurasian Mathematical Journal, 11(4), 66–75. https://doi.org/10.32523/2077-9879-2020-11-4-66-75