ON ESTIMATES OF THE APPROXIMATION NUMBERS OF THE HARDY OPERATOR

被引：0
|
作者：
Lomakina, E. N. [1 ,2 ]
机构：
[1] Khabarovsk State Univ Econ & Law, Dept Math & Math Methods Econ, 134 Tikhookeanskaya St, Khabarovsk 680042, Russia
[2] Far Eastern State Transport Univ, Dept Higher Math, Khabarovsk 680021, Russia
来源：
EURASIAN MATHEMATICAL JOURNAL | 2015年 / 6卷 / 02期
关键词：
Lebesgue space; Lorentz space; Hardy operator; approximation numbers; Schatten-von Neumann norm;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We obtain two sided estimates which describe the behaviour of the approximation numbers of the Hardy operator and Schatten Neumann norms in the new case, when the compact operator Tf(x) = integral(x)(0) f(tau)dT, x> 0, acting from a Lebesgue space to a Lorentz space (T : L-v(r);,(R+) -> LPwpq (R+)) under the condition 1 < p < r <= q < infinity.
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页码：41 / 62
页数：22
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