Mixed Sobolev-like Inequalities in Lebesgue spaces of variable exponents and in Orlicz spaces

Diego Chamorro (1)

1 LaMME - Laboratoire de Mathématiques et Modélisation d'Evry

In this short article we show a particular version of the Hedberg inequality which can be used to derive, in a very simple manner, functional inequalities involving Sobolev and Besov spaces in the general setting of Lebesgue spaces of variable exponents and in the framework of Orlicz spaces.

Mots clés: Hedberg inequality; Sobolev spaces; Besov spaces. Mathematics Subject Classification 46E35; 26D10; 46E30

Domaines: Analyse fonctionnelle [math.FA]

Diego Chamorro. Mixed Sobolev-like Inequalities in Lebesgue spaces of variable exponents and in Orlicz spaces. Positivity, 2022, 26 (5). ⟨hal-03227031⟩