FRACTIONAL ADAMS-MOSER-TRUDINGER TYPE INEQUALITY WITH SINGULAR TERM IN LORENTZ SPACE AND LP SPACE

被引：3

作者：

Wu, Yan ^{[1
]}

Wang, Guanglan ^{[1
]}

机构：

[1] Linyi Univ, Sch Math & Stat, West Side North Sect Gongye Dadao, Linyi 276005, Peoples R China

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2024年 / 14卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Adams-Moser-Trudinger type inequality; fractional derivative; Lorentz space;

D O I：

10.11948/20230094

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For fractional derivatives (-Delta)(s/2), we establish Adams-Moser-Trudinger type inequalities with singular term 1 |x|(alpha) under Lorentz norm and L-p norm on bounded open domains, and get the sharpness of all inequalities. Furthermore, we obtain the sharpness with a more general method.

引用

页码：133 / 145

页数：13

共 50 条

[1] Fractional Adams-Moser-Trudinger type inequality on Heisenberg group
Gupta, Madhu
Tyagi, Jagmohan
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2020, 195
[2] Sharp Adams-Moser-Trudinger type inequalities in the hyperbolic space
Quoc Anh Ngo
Van Hoang Nguyen
REVISTA MATEMATICA IBEROAMERICANA, 2020, 36 (05) : 1409 - 1467
[3] A Moser–Trudinger type inequality on the Orlicz fractional space
Abderrahmane Lakhdari
Nedra Belhaj Rhouma
Mounir Hsini
Journal of Elliptic and Parabolic Equations, 2023, 9 : 33 - 62
[4] Anisotropic Moser-Trudinger type inequality in Lorentz space
Zhang, Tao
Liu, Jie
AIMS MATHEMATICS, 2024, 9 (04): : 9808 - 9821
[5] A Moser-Trudinger type inequality on the Orlicz fractional space
Lakhdari, Abderrahmane
Rhouma, Nedra Belhaj
Hsini, Mounir
JOURNAL OF ELLIPTIC AND PARABOLIC EQUATIONS, 2023, 9 (01) : 33 - 62
[6] A Singular Trudinger-Moser Inequality in Hyperbolic Space
Zhu Xiaobao
JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS, 2015, 28 (01): : 39 - 46
[7] A Singular Moser-Trudinger Inequality on Metric Measure Space
Gui Yaoting
JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS, 2022, 35 (04): : 331 - 343
[8] Adams-Moser-Trudinger inequality in the Cartesian product of Sobolev spaces and its applications
Arora, R.
Giacomoni, J.
Mukherjee, T.
Sreenadh, K.
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2020, 114 (03)
[9] Fractional Adams Moser Trudinger type inequalities
Martinazzi, Luca
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2015, 127 : 263 - 278
[10] A Hardy-Trudinger-Moser Inequality Involving Lp Norm in the Hyperbolic Space
Qian Jin Luo
Acta Mathematica Sinica, English Series, 2020, 36 : 711 - 722

← 1 2 3 4 5 →