RUS  ENG
Full version
JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive
Sibirsk. Mat. Zh., 2023 Volume 64, Number 4, Pages 794–814 (Mi smj7799)
Metric space mappings connected with Sobolev-type function classes

A. S. Romanov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk

Abstract: We study some properties of the metric space mappings connected with the Sobolev-type function classes $M^1_p(X,d,\mu)$.

Keywords: metric spaces, Sobolev-type functions, metric space mappings.

UDC: 517.51

MSC: 35R30

Received: 01.03.2023
Revised: 01.05.2023
Accepted: 16.05.2023

DOI: 10.33048/smzh.2023.64.412


© Steklov Math. Inst. of RAS, 2025