Embedding of fractional Sobolev spaces is equivalent to regularity of the measure
Volume 268 / 2023
Studia Mathematica 268 (2023), 333-343
MSC: Primary 46E35; Secondary 30L99.
DOI: 10.4064/sm220304-2-7
Published online: 16 August 2022
Abstract
We prove that a Sobolev-type embedding of a fractional Sobolev space defined on a metric measure space is equivalent to a lower bound of the measure.
