Bourgain-Brezis-Mironescu formula for $$W^{s,p}_q$$-spaces in arbitrary domains-Reference-Cited by-同舟云学术

Bourgain-Brezis-Mironescu formula for $$W^{s,p}_q$$-spaces in arbitrary domains

Published:2024-01-09 Issue:2 Volume:63 Page:
ISSN:0944-2669
Container-title:Calculus of Variations and Partial Differential Equations
language:en
Short-container-title:Calc. Var.

Author:

Mohanta Kaushik^ORCID

Abstract

AbstractUnder certain restrictions on s, p, q, the Triebel-Lizorkin spaces can be viewed as generalised fractional Sobolev spaces

$$W^{s,p}_q$$

W q s , p . In this article, we show that the Bourgain-Brezis-Mironescu formula holds for

$$W^{s,p}_q$$

W q s , p -seminorms in arbitrary domain. This addresses an open question raised by Brazke-Schikorra-Yung (Calc Var Partial Differ Equ 62(2):41–33, (2023).

Funder

Academy of Finland

Publisher

Springer Science and Business Media LLC

Link

https://link.springer.com/content/pdf/10.1007/s00526-023-02637-w.pdf

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