抄録
We extend and unify several Hardy type inequalities to functions whose values are positive semi-definite operators. In particular, our methods lead to the operator versions of Hardy-Hilbert's and Godunova's inequalities. While classical Hardy type inequalities hold for parameter values p > 1, it is typical that the operator versions hold only for 1 < p ≤ 2, even for functions with values in 2 × 2 matrices.
本文言語 | English |
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ページ(範囲) | 1283-1295 |
ページ数 | 13 |
ジャーナル | International Journal of Mathematics |
巻 | 21 |
号 | 10 |
DOI | |
出版ステータス | Published - 2010 10月 1 |
ASJC Scopus subject areas
- 数学 (全般)