Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8906130 | Indagationes Mathematicae | 2017 | 10 Pages |
Abstract
Motivated by the work “Hardy's inequality in several variables” in Salem et al. (2000), an extension of Copson's discrete inequality to multiple series is obtained. As an application of such extension, we consider the boundedness problem of four-dimensional matrices on the space Lp of double sequences. The operator norms of Cesà ro, Copson and Nörlund four-dimensional matrices as operators selfmap of Lp are established. Further, a general upper estimate and lower estimate are obtained for the lower bounds of some four-dimensional matrices.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Gholamreza Talebi,