TY  - JOUR
T1  - Gagliardo-Nirenberg Inequality as a Consequence of Pointwise Estimates for the Functions
in Terms of Riesz Potential of Gradient
AU - Khan, Sudheer AU - Shu, Wang AU - Abhidha, Monica 
JO  - Journal of Engineering and Applied Sciences
VL  - 15
IS  - 22
SP  - 3654
EP  - 3659
PY  - 2020
DA  - 2001/08/19
SN  - 1816-949x
DO  - jeasci.2020.3654.3659
UR  - https://makhillpublications.co/view-article.php?doi=jeasci.2020.3654.3659
KW  - Gagliardo-Nirenberg inequality
KW  -hardy littlewood maximal function
KW  -riesz potentials
KW  -Sobolev type inequality
AB  - 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.
ER  -