An Extension Problem and Hardy Type Inequalities for the Grushin Operator

2021 ◽  
pp. 1-28
Author(s):  
Rakesh Balhara ◽  
Pradeep Boggarapu ◽  
Sundaram Thangavelu
Keyword(s):  
Extension Problem ◽  
Hardy Type Inequalities ◽  
Grushin Operator ◽  
Hardy Type

scholarly journals Hardy type inequalities for the fractional relativistic operator

2022 ◽  
Vol 4 (3) ◽  
pp. 1-16
Author(s):  
Luz Roncal ◽  
◽  
◽  
Keyword(s):  
Ground State ◽  
Extension Problem ◽  
Local Version ◽  
State Representation ◽  
Hardy Inequalities ◽  
Hardy Type Inequalities ◽  
Hardy Type ◽  
Non Local

<abstract><p>We prove Hardy type inequalities for the fractional relativistic operator by using two different techniques. The first approach goes through trace Hardy inequalities. In order to get the latter, we study the solutions of the associated extension problem. The second develops a non-local version of the ground state representation in the spirit of Frank, Lieb, and Seiringer.</p></abstract>

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

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

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

On some Hardy-type inequalities for fractional calculus operators

2017 ◽  
Vol 11 (2) ◽  
pp. 438-457 ◽  
Author(s):  
Sajid Iqbal ◽  
Josip Pečarić ◽  
Muhammad Samraiz ◽  
Zivorad Tomovski
Keyword(s):  
Fractional Calculus ◽  
Hardy Type Inequalities ◽  
Hardy Type ◽  
Fractional Calculus Operators

scholarly journals Hardy-Type Inequalities for an Extension of the Riemann- Liouville Fractional Derivative Operators

2021 ◽  
Vol 45 (5) ◽  
pp. 797-813
Author(s):  
SAJID IQBAL ◽  
◽  
GHULAM FARID ◽  
JOSIP PEČARIĆ ◽  
ARTION KASHURI
Keyword(s):  
Fractional Derivative ◽  
Convex Functions ◽  
Mean Value ◽  
Mean Value Theorems ◽  
Hardy Type Inequalities ◽  
Exponential Convexity ◽  
Hardy Type ◽  
Liouville Fractional Derivative ◽  
Fractional Derivative Operators

In this paper we present variety of Hardy-type inequalities and their refinements for an extension of Riemann-Liouville fractional derivative operators. Moreover, we use an extension of extended Riemann-Liouville fractional derivative and modified extension of Riemann-Liouville fractional derivative using convex and monotone convex functions. Furthermore, mean value theorems and n-exponential convexity of the related functionals is discussed.

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