Some inequalities related to the Lorentz spaces

被引：0

作者：

Machihara, Shuji ^{[1
]}

Ozawa, Tohru ^{[2
]}

机构：

[1] Saitama Univ, Fac Educ, Dept Math, Saitama 3388570, Japan

[2] Waseda Univ, Dept Appl Phys, Tokyo 1698555, Japan

来源：

关键词：

rearrangement of function; Lorentz space; Besov space; interpolation inequality; EQUATION;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we introduce three types of inequalities related to the Lorentz spaces on a measure space (M, m).

引用

页码：247 / 267

页数：21

共 50 条

[21] Nikol’skii inequalities for Lorentz–Zygmund spaces
Leo R. Ya. Doktorski
Dmitrij Gendler
Boletín de la Sociedad Matemática Mexicana, 2019, 25 : 659 - 672
[22] Gagliardo–Nirenberg Inequalities in Lorentz Type Spaces
Wei Wei
Yanqing Wang
Yulin Ye
Journal of Fourier Analysis and Applications, 2023, 29
[23] Weighted Fourier Inequalities in Lebesgue and Lorentz Spaces
Nursultanov, Erlan
Tikhonov, Sergey
JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2020, 26 (04)
[24] Weak type inequalities on Lorentz martingale spaces
Jiao, Yong
Peng, Lihua
Liu, Peide
STATISTICS & PROBABILITY LETTERS, 2009, 79 (14) : 1581 - 1584
[25] NIKOLSKI INEQUALITIES FOR TRIGONOMETRICAL POLYNOMIALS IN LORENTZ SPACES
SHERSTNEVA, LA
VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA, 1984, (04): : 75 - 79
[26] Optimal Sobolev Type Inequalities in Lorentz Spaces
Cassani, Daniele
Ruf, Bernhard
Tarsi, Cristina
POTENTIAL ANALYSIS, 2013, 39 (03) : 265 - 285
[27] Moser-type inequalities in Lorentz spaces
Alvino, A
Ferone, V
Trombetti, G
POTENTIAL ANALYSIS, 1996, 5 (03) : 273 - 299
[28] Hölder type inequalities in Lorentz spaces
Viktor Kolyada
Javier Soria
Annali di Matematica Pura ed Applicata, 2010, 189 : 523 - 538
[29] Sawyer-type inequalities for Lorentz spaces
Carlos Pérez
Eduard Roure-Perdices
Mathematische Annalen, 2022, 383 : 493 - 528
[30] Sawyer-type inequalities for Lorentz spaces
Perez, Carlos
Roure-Perdices, Eduard
MATHEMATISCHE ANNALEN, 2022, 383 (1-2) : 493 - 528