scholarly journals Hardy-type inequalities on a half-space in the Heisenberg group

2013 ◽  
Vol 2013 (1) ◽  
Author(s):  
Heng-Xing Liu ◽  
Jing-Wen Luan
Keyword(s):  
Heisenberg Group ◽  
Half Space ◽  
Hardy Type Inequalities ◽  
Hardy Type

scholarly journals Weighted Hardy type inequalities on the Heisenberg group ℍ^n

2016 ◽  
pp. 671-683 ◽  
Author(s):  
Abdullah Yener
Keyword(s):  
Heisenberg Group ◽  
Hardy Type Inequalities ◽  
Hardy Type

scholarly journals A Hardy type inequality in the half-space on Rn and Heisenberg group

2008 ◽  
Vol 347 (2) ◽  
pp. 645-651 ◽  
Author(s):  
Jing-Wen Luan ◽  
Qiao-Hua Yang
Keyword(s):  
Heisenberg Group ◽  
Half Space ◽  
Type Inequality ◽  
Hardy Type Inequality ◽  
Hardy Type

scholarly journals Fractional Korn and Hardy-type inequalities for vector fields in half space

2019 ◽  
Vol 21 (07) ◽  
pp. 1850055 ◽  
Author(s):  
Tadele Mengesha
Keyword(s):  
Half Space ◽  
Hardy Inequality ◽  
Vector Fields ◽  
A Priori ◽  
Type Inequality ◽  
Fractional Sobolev Spaces ◽  
Hardy Type Inequality ◽  
Hardy Type Inequalities ◽  
Korn’S Inequality ◽  
Hardy Type

We prove a fractional Hardy-type inequality for vector fields over the half space based on a modified fractional semi-norm. A priori, the modified semi-norm is not known to be equivalent to the standard fractional semi-norm and in fact gives a smaller norm, in general. As such, the inequality we prove improves the classical fractional Hardy inequality for vector fields. We will use the inequality to establish the equivalence of a space of functions (of interest) defined over the half space with the classical fractional Sobolev spaces, which amounts to prove a fractional version of the classical Korn’s inequality.

scholarly journals Some new Hardy-type inequalities on time scales

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Ahmed A. El-Deeb ◽  
Hamza A. Elsennary ◽  
Dumitru Baleanu
Keyword(s):  
Time Scales ◽  
Hardy Type Inequalities ◽  
Hardy Type

Hardy-type inequalities on strong and weak Orlicz-Lorentz spaces

2012 ◽  
Vol 55 (12) ◽  
pp. 2493-2505 ◽  
Author(s):  
HongLiang Li
Keyword(s):  
Lorentz Spaces ◽  
Hardy Type Inequalities ◽  
Hardy Type

On Hardy-Type Inequalities

1998 ◽  
Vol 194 (1) ◽  
pp. 23-33 ◽  
Author(s):  
D. E. Edmunds ◽  
R. Hurri-Syrjänen
Keyword(s):  
Hardy Type Inequalities ◽  
Hardy Type

General weighted Hardy-type inequalities related to Greiner operators

2018 ◽  
Vol 48 (7) ◽  
pp. 2405-2430
Author(s):  
Abdullah Yener
Keyword(s):  
Hardy Type Inequalities ◽  
Hardy Type

scholarly journals Hardy-type inequalities associated with the Weinstein operator

2015 ◽  
Vol 2015 (1) ◽  
Author(s):  
Hatem Mejjaoli
Keyword(s):  
Hardy Type Inequalities ◽  
Hardy Type
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