On the Isomorphism of Sobolev-Type Classes on Metric Spaces

2021 ◽  
Vol 62 (4) ◽  
pp. 707-718
Author(s):  
A. S. Romanov
Keyword(s):  
Metric Spaces ◽  
Sobolev Type ◽  
Type Classes

scholarly journals Approximation of Sobolev-Type Classes with Quasi-Seminorms

2005 ◽  
Vol 35 (2) ◽  
pp. 445-478 ◽  
Author(s):  
Z. Ditzian ◽  
V.N. Konovalov ◽  
D. Leviatan
Keyword(s):  
Sobolev Type ◽  
Type Classes

Variable Hajłasz-Sobolev spaces on compact metric spaces

2017 ◽  
Vol 67 (1) ◽  
pp. 199-208
Author(s):  
Michał Gaczkowski ◽  
Przemysław Górka
Keyword(s):  
Sobolev Spaces ◽  
Variable Exponent ◽  
Metric Spaces ◽  
Hölder Continuity ◽  
Sobolev Type ◽  
Holder Continuity ◽  
Study Variable ◽  
Compact Metric Spaces ◽  
Variable Exponent Sobolev Spaces

Abstract We study variable exponent Sobolev spaces on compact metric spaces. Without the assumption of log-Hölder continuity of the exponent, the compact Sobolev-type embeddings theorems for these spaces are shown.

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