2025, Vol. 6, Issue 1, Part C
A review on development of the hardy inequality
Author(s): Shankar Kandel and Chet Raj Bhatta
Abstract: This article is discussion of the development of the Hardy Inequality. We detail the inequality in both the discrete and continuous cases, as well as notable work, by Hardy and other mathematicians at the time that contributed to its development. Also, necessary and sufficient conditions are given for a weighted Norm inequality for the sum of two dimensional Hardy-type integral operators with not necessarily non-negative coefficients. Furthermore we give necessary and sufficient conditions for certain multi-dimensional over spherical cones. The inequalities involve adjoint Hardy operator. A mixed norm inequality has also been characterized.
DOI: https://doi.org/10.22271/math.2025.v6.i1c.194
Pages: 195-201 | Views: 104 | Downloads: 47
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How to cite this article:
Shankar Kandel and Chet Raj Bhatta. A review on development of the hardy inequality. Journal of Mathematical Problems, Equations and Statistics. 2025; 6(1): 195-201. DOI: 10.22271/math.2025.v6.i1c.194
