Inclusion of Hajłasz – Sobolev class Mpα(X) into the space of continuous functions in the critical case
Let (X, d, µ) be a doubling metric measure space with doubling dimension γ, i. e. for any balls B(x, R) and B(x, r), r < R, following inequality holds µ(B(x, R)) ≤ aµ (R/r)γµ(B(x, r)) for some positive constants γ and aµ. Hajłasz – Sobolev space Mpα(X) can be defined upon such general structure....
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | Belarusian |
| Published: |
Belarusian State University
2020-03-01
|
| Series: | Журнал Белорусского государственного университета: Математика, информатика |
| Subjects: | |
| Online Access: | https://journals.bsu.by/index.php/mathematics/article/view/1139 |