Abstract
We present two-scale Morrey–Sobolev inequalities for measure-valued Lagrangeans on quasi-metric balls, scaled according to refined power laws. The fine tuning is given by suitable gauge functions, typically of logarithmic type. Fractal examples with fluctuating geometry are described.
†Dedicated to Ebba Swantje
Acknowledgement
The author wishes to thank Professor Maria Agostina Vivaldi for helpful discussions and useful comments on this work.
Notes
†Dedicated to Ebba Swantje