Authors : Sudheer Khan, Wang Shu and Monica Abhidha
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.
Sudheer Khan, Wang Shu and Monica Abhidha, 2020. Gagliardo-Nirenberg Inequality as a Consequence of Pointwise Estimates for the Functions in Terms of Riesz Potential of Gradient. Journal of Engineering and Applied Sciences, 15: 3654-3659.