Sharp Trudinger Type Inequalities for Measure-Valued Lagrangeans

Raffaela Capitanelli; Maria Agostina Vivaldi

Abstract

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

Author information

Contact details are reproduced from the original publication and may be historical.

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

Keywords

Embedding theorems
metric spaces
doubling measure
Lagrangeans
weight

Mathematics Subject Classification

35J60, 35J65, 35B30, 35J87

Suggested citation

R. Capitanelli, M. A. Vivaldi. “Sharp Trudinger Type Inequalities for Measure-Valued Lagrangeans.” Journal of Convex Analysis 28 (2021), No. 2, 471–494.