This article is cited in 4 papers

Boundedness and compactness of a certain class of matrix operators with variable limits of summation

A. M. Temirkhanova, A. T. Beszhanova

Faculty of Mechanics and Mathematics, L.N. Gumilyov Eurasian National University, 13 Munaitpasov St, 010008 Nur-Sultan, Kazakhstan

Abstract: Necessary and sufficient conditions for the boundedness and compactness of the matrix operator of the form $(Af)_n=\sum_{k=\alpha(n)}^{\beta(n)}a_{n,k}f_k$, from $l_{p,v}$ to $l_{q,u}$ when $1<p\leqslant q<\infty$ are given.

Keywords and phrases: matrix operator, discrete Hardy type operator, boundedness, compactness.

MSC: 26D15, 47B37

Received: 01.07.2019

Language: English

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

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