In 1964 Borwein presented functional characterization of the normed linear spaces w_p and W_p. These two spaces are clearly linked to Cesàro summability [C, 1] in particular it should be noted that a sequence x in w_p if and only if x is Cesàro summable. The goal of this paper includes extension of these notions to double function space thus producing multidimensional analog of Borwein’s results.

中文翻译：

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多维线性功能连接，具有双重强Cesàro可和性

1964年，Borwein提出了范数线性空间w _p和W _p的功能表征。这两个空格与Cesàro可加性[ C，1]明确相关，尤其应注意，当且仅当x是Cesàro可加和时，w _p中的序列x。本文的目标包括将这些概念扩展到双功能空间，从而产生Borwein结果的多维模拟。