Weighted Mean Operators on $l_p$

Canadian mathematical bulletin

关键词: weighted means;    operators on $l_p$;    norm estimates;   

DOI  :  10.4153/CMB-2000-048-3

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

The weighted mean matrix $M_a$ is the triangular matrix ${a_k/A_n}$,where $a_n > 0$ and $A_n := a_1 + a_2 + cdots + a_n$. It is provedthat, subject to $n^c a_n$ being eventually monotonic for eachconstant $c$ and to the existence of $alpha := limfrac{A_n}{na_n}$, $M_a in B(l_p)$ for $1 < p < infty$ if and onlyif $alpha < p$.

【 授权许可】

Unknown