On the Gagliardo-Nirenberg type inequality in the critical Sobolev-Morrey space

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Generalized Morrey spaces and trace operator (2016, background): “An experience in [7, 63] shows that a passage from the classical Morrey space Mq(R) to the generalized Morrey space Mq (R) is not a mere quest to generalization.”
Generalized weighted Morrey spaces and classical operators (2016, result): “In [32], Sawano and Wadade obtained the following result: Proposition 1.”
Hermite‐Hadamard inequalities for Riemann‐Liouville fractional integrals of a convex function with respect to a monotone function (2019, background): “Multiply both sides of (10) by tμ−1, and then integrate with respect to t; we have”