Approximation numbers of composition operators on H-p

被引：3

作者：

Li, Daniel

Queffelec, Herve

Rodriguez-Piazza, Luis

机构：

[1] Univ Lille Nord de France, U-Artois, Laboratoire de Mathématiques de Lens EA 2462, Fédération CNRS Nord-Pas-de-Calais FR 2956, Faculté des Sciences Jean Perrin, Rue Jean Souvraz, S.P. 18, Lens

[2] Univ Lille Nord de France, USTL, Laboratoire Paul Painlevé, U.M.R. CNRS 8524, Fédération CNRS Nord-Pasde-Calais FR 2956, Villeneuve d'Ascq Cedex

[3] Universidad de Sevilla, Facultad de Matemáticas, Departamento de Análisis Matemático, IMUS, Apartado de Correos 1160, Sevilla

来源：

CONCRETE OPERATORS | 2015年 / 2卷 / 01期

关键词：

approximation numbers; Blaschke product; composition operator; Hardy space; interpolation sequence;

D O I：

10.1515/conop-2015-0005

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give estimates for the approximation numbers of composition operators on the Hp spaces, 1 <= p < infinity.

引用

页码：98 / 109

页数：12

共 50 条

[31] H-P ESTIMATES FOR BI-INVARIANT OPERATORS ON COMPACT LIE-GROUPS
FAN, DS
XU, ZF
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1994, 122 (02) : 437 - 447
[32] On weighted H-p boundedness of C-Z type singular integral operators
Kuang, JC
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1996, 197 (03) : 864 - 874
[33] FINITE INTERVAL CONVOLUTION-OPERATORS ON THE BESSEL POTENTIAL SPACES H-P(S)
BASTOS, MA
DOSSANTOS, AF
DUDUCHAVA, R
MATHEMATISCHE NACHRICHTEN, 1995, 173 : 49 - 63
[34] h-P Finite Element Approximation for Full-Potential Electronic Structure Calculations
Yvon MADAY
ChineseAnnalsofMathematics(SeriesB), 2014, 35 (01) : 1 - 24
[35] APPROXIMATION NUMBERS, P-NUCLEAR OPERATORS AND HILBERT-SPACE CHARACTERIZATIONS
ROSENBERGER, B
MATHEMATISCHE ANNALEN, 1975, 213 (03) : 211 - 221
[36] A METHOD OF APPROXIMATING FUNCTIONS IN H-P
STOROZHENKO, EA
MATHEMATICAL NOTES, 1995, 57 (3-4) : 402 - 406
[37] Optimal meshes and h-p adaptivity
Vanti, Marcelo G.
Raizer, Adroaldo
Marechal, Yves
IEEE Transactions on Magnetics, 1997, 33 (2 pt 2): : 1752 - 1755
[38] A hierarchical domain decomposition preconditioner for h-p finite element approximation on locally refined meshes
Ainsworth, M
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 1996, 17 (06): : 1395 - 1413
[39] H-P REPRESENTATION OF ULTRASPHERICAL EXPANSIONS
MCCOY, PA
APPLICABLE ANALYSIS, 1982, 13 (02) : 139 - 148
[40] STRONG EXTREME POINTS IN H-P
CIMA, JA
THOMSON, J
DUKE MATHEMATICAL JOURNAL, 1973, 40 (03) : 529 - 532

← 1 2 3 4 5 →