Hardy-type inequalities for matrix operators
We establish necessary and sufficient conditions the validity of the discrete Hardy - type inequality (∑∞i=1(∑∞j=1ai,jfj)quiq)1/q ≤ (∑∞i=1 fipvip)1/p, f={fi}∞i=1≥0, with 0 < p ≤ q < ∞ and 0 < p ≤ 1, where the matrices (ai;j) is an arbitrary matrix and the entries of the matrix (ai;j) ≥ 0 s...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Academician Ye.A. Buketov Karaganda University
2017-12-01
|
| Series: | Қарағанды университетінің хабаршысы. Математика сериясы |
| Subjects: | |
| Online Access: | http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/186 |