Regularity of the inverse mapping in Banach function spaces
Anastasia Molchanova, Tomáš G. Roskovec, Filip Soudský · Mathematische Nachrichten · 2021
Abstract We study the regularity properties of the inverse of a bilipschitz mappingfbelonging to , whereXis an arbitrary Banach function space. Namely, we prove that the inverse mapping is also in . Furthermore, the paper shows that the class of bilipschitz mappings in is closed with respect to composition and multiplication.