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Journal of Convex Analysis 28 (2021), No. 2, 471--494
Copyright Heldermann Verlag 2021



Sharp Trudinger Type Inequalities for Measure-Valued Lagrangeans

Raffaela Capitanelli
Dept. of Basic and Applied Sciences for Engineering, Sapienza University, Rome, Italy
raffaela.capitanelli@uniroma1.it

Maria Agostina Vivaldi
Dept. of Basic and Applied Sciences for Engineering, Sapienza University, Rome, Italy
maria.vivaldi@sbai.uniroma1.it



The aim of the paper is to prove weighted John-Nirenberg and sharp Trudinger type inequalities for measure-valued (α, p) - Lagrangeans.

Keywords: Embedding theorems, metric spaces, doubling measure, Lagrangeans, weight.

MSC: 35J60, 35J65, 35B30, 35J87

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