The John–Nirenberg Inequality of Weighted BLO Space and Its Applications

2022 ◽  
Vol 32 (2) ◽  
Author(s):  
Huan Zhao ◽  
Zongguang Liu
Keyword(s):  
Nirenberg Inequality

Structure of minimizers of Cafarelli-Kohn-Nirenberg inequality

2020 ◽  
Vol 72 (4) ◽  
pp. 551-567
Author(s):  
Jann-Long Chern ◽  
Chih-Her Chen ◽  
Gyeongha Hwang
Keyword(s):  
Nirenberg Inequality

scholarly journals Hardy-type inequalities for Dunkl operators with applications to many-particle Hardy inequalities

2020 ◽  
pp. 2050024 ◽  
Author(s):  
Andrei Velicu
Keyword(s):  
Hardy Inequality ◽  
Root Systems ◽  
Dunkl Operators ◽  
Hardy Inequalities ◽  
One Dimensional ◽  
Hardy Type Inequalities ◽  
Rellich Inequality ◽  
Nirenberg Inequality ◽  
Special Case ◽  
The Hardy Inequality

In this paper, we study various forms of the Hardy inequality for Dunkl operators, including the classical inequality, [Formula: see text] inequalities, an improved Hardy inequality, as well as the Rellich inequality and a special case of the Caffarelli–Kohn–Nirenberg inequality. As a consequence, one-dimensional many-particle Hardy inequalities for generalized root systems are proved, which in the particular case of root systems [Formula: see text] improve some well-known results.

Gagliardo–Nirenberg inequality for generalized Riesz potentials of functions in Musielak-Orlicz spaces

2012 ◽  
Vol 98 (3) ◽  
pp. 253-263 ◽  
Author(s):  
Yoshihiro Mizuta ◽  
Eiichi Nakai ◽  
Yoshihiro Sawano ◽  
Tetsu Shimomura
Keyword(s):  
Orlicz Spaces ◽  
Riesz Potentials ◽  
Nirenberg Inequality

scholarly journals Norm constants in cases of the Caffarelli–Kohn–Nirenberg inequality

2018 ◽  
Vol 292 (2) ◽  
pp. 293-303 ◽  
Author(s):  
Akshay Chanillo ◽  
Sagun Chanillo ◽  
Ali Maalaoui
Keyword(s):  
Nirenberg Inequality
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