WEAK-STAR CONVERGENCE IN MULTIPARAMETER HARDY SPACES

被引：3

作者：

Pipher, Jill ^{[1
]}

Treil, Sergei ^{[1
]}

机构：

[1] Brown Univ, Dept Math, Providence, RI 02912 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2011年 / 139卷 / 04期

基金：

美国国家科学基金会;

关键词：

Weak-star convergence; multiparameter Hardy space; VMO; MEAN-OSCILLATION; DYADIC BMO; HANKEL-OPERATORS; PRODUCT BMO; COMMUTATORS; VARIABLES; DUALITY; BIDISC; H-1;

D O I：

10.1090/S0002-9939-2010-10567-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove a multiparameter version of a classical theorem of Jones and Journe on weak-star convergence in the Hardy space H(1).

引用

页码：1445 / 1454

页数：10

共 50 条

[1] On weak-star convergence in product Hardy spaces on spaces of homogeneous type
Lee, Ming-Yi
Li, J.
Ward, Lesley A.
[J]. STUDIA MATHEMATICA, 2016, 235 (03) : 251 - 267
[2] WEAK-STAR CONVERGENCE IN HIGHER DUALS OF ORLICZ SPACES
LEUNG, DH
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1988, 103 (03) : 797 - 800
[3] Weak-star convergence of convex sets
Fitzpatrick, S.
Lewis, A. S.
[J]. JOURNAL OF CONVEX ANALYSIS, 2006, 13 (3-4) : 711 - 719
[4] Weak-Star Convergence and a Polynomial Approximation Problem
Arthur A. Danielyan
[J]. Results in Mathematics, 2016, 69 : 257 - 262
[5] Weak-Star Convergence and a Polynomial Approximation Problem
Danielyan, Arthur A.
[J]. RESULTS IN MATHEMATICS, 2016, 69 (1-2) : 257 - 262
[6] A-quasiconvexity:: weak-star convergence and the gap
Fonseca, I
Leoni, G
Müller, S
[J]. ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2004, 21 (02): : 209 - 236
[7] APPROXIMATION AND WEAK-STAR APPROXIMATION IN BANACH SPACES
DEAN, DW
[J]. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 79 (04): : 725 - 728
[8] A weak-star convergence result for orthogonal rational functions
Van Deun, J
Bultheel, A
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2005, 178 (1-2) : 453 - 464
[9] ISOMETRIES OF SPACES OF WEAK-STAR CONTINUOUS-FUNCTIONS
CAMBERN, M
JAROSZ, K
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1989, 106 (03) : 707 - 712
[10] On the weak-star extensibility
Wang, Bingwu
Zhao, Yali
Qian, Weiyi
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (06) : 2109 - 2115

← 1 2 3 4 5 →