Characterizations for the fractional maximal operator and its commutators in generalized weighted Morrey spaces on Carnot groups

被引：4

作者：

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

机构：

[1] Baku State Univ, Inst Appl Math, Baku, Azerbaijan

[2] Dumlupinar Univ, Dept Math, Kutahya, Turkey

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

来源：

ANALYSIS AND MATHEMATICAL PHYSICS | 2020年 / 10卷 / 02期

关键词：

Carnot group; Fractional maximal operator; Generalized weighted Morrey space; Commutator; BMO; Homogeneous dimension; HIGHER-ORDER COMMUTATORS; INTEGRAL-OPERATORS; NORM INEQUALITIES; BOUNDEDNESS; EQUATIONS;

D O I：

10.1007/s13324-020-00360-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we shall give a characterization for the strong and weak type Spanne type boundedness of the fractional maximal operator M alpha, 0 <=alpha<Q on Carnot group G on generalized weighted Morrey spaces Mp,phi(G,w, where Q is the homogeneous dimension of G. Also we give a characterization for the Spanne type boundedness of the fractional maximal commutator operator Mb,alpha on generalized weighted Morrey spaces.

引用

页数：20

共 50 条

[1] Characterizations for the fractional maximal operator and its commutators in generalized weighted Morrey spaces on Carnot groups
V. S. Guliyev
[J]. Analysis and Mathematical Physics, 2020, 10
[2] CHARACTERIZATIONS FOR THE FRACTIONAL INTEGRAL OPERATOR AND ITS COMMUTATORS IN GENERALIZED WEIGHTED MORREY SPACES ON CARNOT GROUPS
Guliyev, Vagif S.
Ekincioglu, Ismail
[J]. JOURNAL OF MATHEMATICAL INEQUALITIES, 2021, 15 (01): : 151 - 171
[3] Commutators of the fractional maximal function in generalized Morrey spaces on Carnot groups
Guliyev, Vagif S.
[J]. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2021, 66 (6-7) : 893 - 909
[4] BOUNDEDNESS OF FRACTIONAL MAXIMAL OPERATOR AND THEIR HIGHER ORDER COMMUTATORS IN GENERALIZED MORREY SPACES ON CARNOT GROUPS
Vagif GULIYEV
Ali AKBULUT
Yagub MAMMADOV
[J]. Acta Mathematica Scientia, 2013, 33 (05) : 1329 - 1346
[5] BOUNDEDNESS OF FRACTIONAL MAXIMAL OPERATOR AND THEIR HIGHER ORDER COMMUTATORS IN GENERALIZED MORREY SPACES ON CARNOT GROUPS
Guliyev, Vagif
Akbulut, Ali
Mammadov, Yagub
[J]. ACTA MATHEMATICA SCIENTIA, 2013, 33 (05) : 1329 - 1346
[6] Characterizations for the fractional maximal commutator operator in generalized Morrey spaces on Carnot group
Guliyev, Vagif
Ekincioglu, Ismail
Kaya, Esra
Safarov, Zaman
[J]. INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2019, 30 (06) : 453 - 470
[7] Characterizations for the fractional maximal operator and its commutators on total Morrey spaces
Guliyev, V. S.
[J]. POSITIVITY, 2024, 28 (04)
[8] Maximal Operator and its Commutators on Generalized Weighted Orlicz-Morrey Spaces
Deringoz, Fatih
Guliyev, Vagif S.
Hasanov, Sabir G.
[J]. TOKYO JOURNAL OF MATHEMATICS, 2018, 41 (02) : 347 - 369
[9] Commutators of fractional maximal operator on generalized Orlicz–Morrey spaces
Fatih Deringoz
Vagif S. Guliyev
Sabir G. Hasanov
[J]. Positivity, 2018, 22 : 141 - 158
[10] FRACTIONAL MAXIMAL OPERATOR AND ITS COMMUTATORS IN GENERALIZED MORREY SPACES ON HEISENBERG GROUP
Eroglu, Ahmet
Azizov, Javanshir, V
Guliyev, Vagif S.
[J]. PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, 2018, 44 (02): : 304 - 317

← 1 2 3 4 5 →