Inequalities involving upper bounds for certain matrix operators

Details Inequalities involving upper bounds for certain matrix operators Inequalities involving upper bounds for certain matrix operators

2006-09-04

arxiv.org/abs/math/0609089v1

Mathematics

Functional Analysis

12 pages

Scientific paper

In this paper, we considered the problem of finding the upper bound Hausdorff matrix operator from sequence spaces $l_p(v)$ (or $d(v,p)$) into $l_p(w)$ (or $d(w,p)$). Also we considered the upper bound problem for matrix operators from $d(v,1)$ into $d(w,1)$, and matrix operators from $e(w,\infty)$ into $e(v,\infty)$, and deduce upper bound for Cesaro, Copson and Hilbert matrix operators, which are recently considered in \cite{5} and \cite{6} and similar to that in \cite{10}.

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