Previous |  Up |  Next

# Article

 Title: Lower bound and upper bound of operators on block weighted sequence spaces (English) Author: Lashkaripour, Rahmatollah Author: Talebi, Gholomraza Language: English Journal: Czechoslovak Mathematical Journal ISSN: 0011-4642 (print) ISSN: 1572-9141 (online) Volume: 62 Issue: 2 Year: 2012 Pages: 293-304 Summary lang: English . Category: math . Summary: Let $A=(a_{n,k})_{n,k\geq 1}$ be a non-negative matrix. Denote by $L_{v,p,q,F}(A)$ the supremum of those $L$ that satisfy the inequality $$\|Ax\|_{v,q,F} \ge L\| x\|_{v,p,F},$$ where $x\geq 0$ and $x\in l_p(v,F)$ and also $v=(v_n)_{n=1}^\infty$ is an increasing, non-negative sequence of real numbers. If $p=q$, we use $L_{v,p,F}(A)$ instead of $L_{v,p,p,F}(A)$. In this paper we obtain a Hardy type formula for $L_{v,p,q,F}(H_\mu )$, where $H_\mu$ is a Hausdorff matrix and \$0

## Files

Files Size Format View
CzechMathJ_62-2012-2_1.pdf 228.0Kb application/pdf View/Open

Partner of