Limits of the improved integrability of the volume forms
Limits of the improved integrability of the volume forms
We identify the exact degree of integrability of nonnegative volume forms and the Jacobians of orientation preserving mappings from various Orlicz-Sobolev classes.An improvement takes place when the Jacobian belongs to the Orlicz space L Ψ (Ω), where Ψ grows almost linearly, that is, t 1-ε ≺ Ψ(t) ≺ t 1+ε …