Journal of Engineering and Applied Sciences

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Gagliardo-Nirenberg Inequality as a Consequence of Pointwise Estimates for the Functions in Terms of Riesz Potential of Gradient

Sudheer Khan, Wang Shu and Monica Abhidha
Page: 3654-3659 | Received 21 Sep 2022, Published online: 21 Sep 2022

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Abstract

Our aim in this study is to give the Gagliardo-Nirenberg Inequality as a consequence of pointwise estimates for the function in terms of the Riesz potential of the gradient. Further, in this study we are interested to extract Sobolev type inequality in terms of Riesz potentials for ρ = 1 and to extend our work for weak type estimates when ρ = 1.

How to cite this article:

Sudheer Khan, Wang Shu and Monica Abhidha. Gagliardo-Nirenberg Inequality as a Consequence of Pointwise Estimates for the Functions in Terms of Riesz Potential of Gradient.
DOI: https://doi.org/10.36478/jeasci.2020.3654.3659
URL: https://www.makhillpublications.co/view-article/1816-949x/jeasci.2020.3654.3659