English

Inequalities involving upper bounds for certain matrix operators

Functional Analysis 2007-05-23 v1

Abstract

In this paper, we considered the problem of finding the upper bound Hausdorff matrix operator from sequence spaces lp(v)l_p(v) (or d(v,p)d(v,p)) into lp(w)l_p(w) (or d(w,p)d(w,p)). Also we considered the upper bound problem for matrix operators from d(v,1)d(v,1) into d(w,1)d(w,1), and matrix operators from e(w,)e(w,\infty) into e(v,)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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Cite

@article{arxiv.math/0609089,
  title  = {Inequalities involving upper bounds for certain matrix operators},
  author = {R Lashkaripour and D Foroutannia},
  journal= {arXiv preprint arXiv:math/0609089},
  year   = {2007}
}

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12 pages