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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 [ Fulltext-pdf (198 KB)] for subscribers only. |