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Improved interpolation inequalities, relative entropy and fast diffusion equa...
We consider a family of Gagliardo-Nirenberg-Sobolev interpolation inequalities which interpolate between Sobolev's inequality and the logarithmic Sobolev inequality,... -
One-dimensional Gagliardo-Nirenberg-Sobolev inequalities: Remarks on duality ...
This paper is devoted to one-dimensional interpolation Gagliardo-Nirenberg-Sobolev inequalities. We study how various notions of duality, transport and monotonicity of...
