Characterizations of Hardy spaces associated with Laplace-Bessel operators

被引：5

作者：

Keskin, Cansu ^{[1
]}

Ekincioglu, Ismail ^{[1
]}

Guliyev, Vagif S. ^{[1
,2
,3
]}

机构：

[1] Kutahya Dutnlupmar Univ, Dept Math, Kutahya, Turkey

[2] RUDN Univ, SM Nikolskii Inst Math, Moscow, Russia

[3] NAS, Inst Math & Mech, Baku, Azerbaijan

来源：

ANALYSIS AND MATHEMATICAL PHYSICS | 2019年 / 9卷 / 04期

关键词：

Atomic decomposition; Fourier-Bessel transform; Generalized shift operator; Hardy space; Riesz-Bessel transform; 42B30; 42B20; 42B10; 42B25; 42B35;

D O I：

10.1007/s13324-019-00335-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we obtain a characterization of H-Delta nu(p)(R-+(n)) Hardy spaces by using atoms associated with the radial maximal function, the nontangential maximal function and the grand maximal function related to Delta(nu) Laplace-Bessel operator for nu > 0 and 1 < p < infinity. As an application, we further establish an atomic characterization of Hardy spaces H-Delta nu(p)(R-+(n)) in terms of the high order Riesz-Bessel transform for 0 < p <= 1.

引用

页码：2281 / 2310

页数：30

共 50 条

[21] Weak-Type Estimate for the Littlewood-Paley Operators Associated with Laplace-Bessel Differential Operator
Arash Ghorbanalizadeh
Monire Mikaeili Nia
The Journal of Geometric Analysis, 2023, 33
[22] A NOTE ON ANISOTROPIC POTENTIALS ASSOCIATED WITH THE LAPLACE-BESSEL DIFFERENTIAL OPERATOR
Hasanov, Javanshir J.
OPERATORS AND MATRICES, 2008, 2 (04): : 465 - 481
[23] On the generalized fractional Laplace-Bessel operator
Bouzeffour, Fethi
GEORGIAN MATHEMATICAL JOURNAL, 2025,
[24] Weak-Type Estimate for the Littlewood-Paley Operators Associated with Laplace-Bessel Differential Operator
Ghorbanalizadeh, Arash
Mikaeili Nia, Monire
JOURNAL OF GEOMETRIC ANALYSIS, 2023, 33 (11)
[25] A generalization of parabolic potentials associated to Laplace-Bessel differential operator and its behavior in the weighted Lebesque spaces
Sekin, Cagla
TURKISH JOURNAL OF MATHEMATICS, 2021, 45 (01) : 566 - 578
[26] Hardy spaces for Bessel-Schrodinger operators
Kania, Edyta
Preisner, Marcin
MATHEMATISCHE NACHRICHTEN, 2018, 291 (5-6) : 908 - 927
[27] Riesz Transform Characterizations of Hardy Spaces Associated to Degenerate Elliptic Operators
Dachun Yang
Junqiang Zhang
Integral Equations and Operator Theory, 2016, 84 : 183 - 216
[28] Various characterizations of product Hardy spaces associated to Schrödinger operators
SuYing Liu
Kai Zhao
Science China Mathematics, 2015, 58 : 2549 - 2564
[29] Maximal function characterizations of Hardy spaces associated with magnetic Schrodinger operators
Jiang, Renjin
Yang, Dachun
Yang, Dongyong
FORUM MATHEMATICUM, 2012, 24 (03) : 471 - 494
[30] Various characterizations of product Hardy spaces associated to Schrdinger operators
LIU SuYing
ZHAO Kai
Science China(Mathematics), 2015, 58 (12) : 2549 - 2564

← 1 2 3 4 5 →