ON THE BEST CONSTANT IN WEIGHTED INEQUALITIES FOR RIEMANN-LIOUVILLE INTEGRALS

被引：16
|
作者：
MANAKOV, VM
机构：
[1] Department of Mathematics, Politechnical Institute, Khabarovsk, 680035
来源：
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 1992年 / 24卷
关键词：
D O I：
10.1112/blms/24.5.442
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For 1 less-than-or-equal-to k < infinity and 1 < p less-than-or-equal-to q < infinity, the problem of finding the best constant C(p,q) in the weighted inequality (integral-infinity/0 \I(k)f(x)\q\u(x)\q dx)1/q less-than-or-equal-to C(p,q)(integral-infinity/0 \f(x)\p\v(x)\p dx)1/p, involving the Riemann-Liouville integrals of the form I(k)f(x) = 1/GAMMA(k) integral-x/0 (x-1)k-1f(t)dt, is considered.
引用
收藏
页码：442 / 448
页数：7
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