|
Real, complex and functional analysis
Classes of Sobolev type on quasimetric spaces
A. S. Romanovab a Sobolev Institute of Mathematics,
pr. Koptyuga, 4,
630090, Novosibirsk, Russia
b Novosibirsk State University,
Pirogova str., 2,
630090, Novosibirsk, Russia
Abstract:
On quasimetric measure spaces, classes of functions of Sobolev
type are defined. In the model cases, analogues of the classical imbedding
theorems are proved.
Keywords:
quasimetric, Sobolev space, embedding theorem.
Received December 7, 2017, published December 14, 2017
Citation:
A. S. Romanov, “Classes of Sobolev type on quasimetric spaces”, Sib. Èlektron. Mat. Izv., 14 (2017), 1447–1455
Linking options:
https://www.mathnet.ru/eng/semr883 https://www.mathnet.ru/eng/semr/v14/p1447
|
Statistics & downloads: |
Abstract page: | 121 | Full-text PDF : | 42 | References: | 24 |
|