The molecular characterization of weighted Hardy spaces

被引：60

作者：

Lee, MY ^{[1
]}

Lin, CC ^{[1
]}

机构：

[1] Natl Cent Univ, Dept Math, Chungli 320, Taiwan

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2002年 / 188卷 / 02期

关键词：

A(p) weights; atomic decomposition; molecular character; Hilbert transform; Riesz transforms; singular integrals; weighted Hardy spaces;

D O I：

10.1006/jfan.2001.3839

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We first define molecules for weighted Hardy spaces and prove their molecular characters. As an application, we give sufficient conditions on the kernel k such that the convolution operator Tf = k * f is bounded on weighted Hardy spaces H-w(p)(R-n), w is an element of A(1). We also get the H-w(p)(R), 1/2 < p <= 1, boundedness of the Hilbert transform and the H-w(p) (R-n), n/(n + 1) < p <= 1, boundedness of the Riesz transforms. (C) 2002 Elsevier Science (USA).

引用

页码：442 / 460

页数：19

共 50 条

[31] GENERALIZED WEIGHTED COMPOSITION OPERATORS ON WEIGHTED HARDY SPACES
Hu, Lian
Li, Songxiao
Yang, Rong
[J]. OPERATORS AND MATRICES, 2023, 17 (04): : 1109 - 1124
[32] Pseudodifferential Operators on Weighted Hardy Spaces
Deng, Yu-long
Long, Shun-chao
[J]. JOURNAL OF FUNCTION SPACES, 2020, 2020
[33] Weighted composition operators on Hardy spaces
Stylogiannis, Georgios
[J]. ACTA SCIENTIARUM MATHEMATICARUM, 2012, 78 (1-2): : 213 - 239
[34] Inner functions in weighted Hardy spaces
Le, Trieu
[J]. ANALYSIS AND MATHEMATICAL PHYSICS, 2020, 10 (02)
[35] On Cyclic Functions in Weighted Hardy Spaces
Dilnyi, V.
[J]. JOURNAL OF MATHEMATICAL PHYSICS ANALYSIS GEOMETRY, 2011, 7 (01) : 19 - 33
[36] Interpolation and moment in weighted Hardy spaces
Boivin, Andre
Zhu, Changzhong
[J]. INVARIANT SUBSPACES OF THE SHIFT OPERATOR, 2015, 638 : 179 - 195
[37] Partial retractions for weighted Hardy spaces
Kisliakov, S
Xu, QH
[J]. STUDIA MATHEMATICA, 2000, 138 (03) : 251 - 264
[38] Uncertainty inequality on weighted Hardy spaces
Soltani, Fethi
[J]. GEORGIAN MATHEMATICAL JOURNAL, 2023, 30 (04) : 603 - 610
[39] Weighted Hardy Spaces of Quasiconformal Mappings
Sita Benedict
Pekka Koskela
Xining Li
[J]. The Journal of Geometric Analysis, 2022, 32
[40] ON THE IDENTIFICATION OF WEIGHTED HARDY-SPACES
ADAMS, E
[J]. INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1983, 32 (04) : 477 - 489

← 1 2 3 4 5 →