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.

引用

页码：41 / 62

页数：22

共 50 条

[21] NORM ESTIMATES FOR THE HARDY OPERATOR IN TERMS OF Bp WEIGHTS
Boza, Santiago
Soria, Javier
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2017, 145 (06) : 2455 - 2465
[22] Two-sided estimates for the approximation numbers of Hardy-type operators in L∞ and L1
Evans, WD
Harris, DJ
Lang, J
STUDIA MATHEMATICA, 1998, 130 (02) : 171 - 192
[23] The approximation numbers of hardy-type operators on trees
Evans, WD
Harris, DJ
Lang, J
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2001, 83 : 390 - 418
[24] ESTIMATES OF THE SINGULAR NUMBERS OF THE CARLESON IMBEDDING OPERATOR
PARFENOV, OG
MATHEMATICS OF THE USSR-SBORNIK, 1986, 131 (3-4): : 497 - 514
[25] Banach algebras of operator sequences: Approximation numbers
Rogozhin, A.
Silbermann, B.
JOURNAL OF OPERATOR THEORY, 2007, 57 (02) : 325 - 346
[26] On asymptotic behavior of the approximation numbers and estimates of Schatten-von Neumann norms of the hardy-type integral operators
Lomakina, EN
Stepanov, VD
DOKLADY AKADEMII NAUK, 1999, 367 (05) : 594 - 596
[27] Approximation Numbers of Composition Operators on the Hardy Space of the Infinite Polydisk
Li, Daniel
Queffelec, Herve
Rodriguez-Piazza, Luis
INTEGRAL EQUATIONS AND OPERATOR THEORY, 2017, 89 (04) : 493 - 505
[28] Approximation Numbers of Composition Operators on the Hardy Space of the Infinite Polydisk
Daniel Li
Hervé Queffélec
Luis Rodríguez-Piazza
Integral Equations and Operator Theory, 2017, 89 : 493 - 505
[29] About asymptotics of distribution functions of approximation numbers of the two-weight Hardy operator with the condition of generalized monotonicity. I
Kusaiynova, L. K.
Uhman, A. V.
BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS, 2010, 58 (02): : 88 - 94
[30] Direct Estimates of the Weighted Simultaneous Approximation by the Baskakov Operator
Borislav R. Draganov
Results in Mathematics, 2020, 75

← 1 2 3 4 5 →