Bourgain-Brezis-Mironescu formula for Ws,p q -spaces in arbitrary domains
Finna-arvio
Bourgain-Brezis-Mironescu formula for Ws,p q -spaces in arbitrary domains
Under certain restrictions on s, p, q, the Triebel-Lizorkin spaces can be viewed as generalised fractional Sobolev spaces Ws,p q . In this article, we show that the Bourgain-Brezis-Mironescu formula holds for Ws,p q -seminorms in arbitrary domain. This addresses an open question raised by Brazke-Schikorra-Yung (Calc Var Partial Differ Equ 62(2):41–33, (2023).
Tallennettuna:
Kieli |
englanti |
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Sarja | Calculus of Variations and Partial Differential Equations, 2 |
Aiheet | |
ISSN |
0944-2669 |