Report
Bourgain-Brezis-Mironescu formula for $W^{s,p}_q$-spaces in arbitrary domains
| العنوان: | Bourgain-Brezis-Mironescu formula for $W^{s,p}_q$-spaces in arbitrary domains |
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| المؤلفون: | Mohanta, Kaushik |
| المصدر: | Calc. Var. 63, 31 (2024) |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Functional Analysis, Mathematics - Analysis of PDEs, 46E35, 42B35 |
| الوصف: | Under certain restrictions on $s,p,q$, the Triebel-Lizorkin spaces can be viewed as generalised fractional Sobolev spaces $W^{s,p}_q$. In this article, we show that the Bourgain-Brezis-Mironescu formula holds for $W^{s,p}_q$-seminorms in arbitrary domain. This addresses an open question raised by Brazke-Schikorra-Yung in [Bourgain-Brezis-Mironescu convergence via Triebel-Lizorkin spaces; Calc. Var. Partial Differential Equations; 2023]. |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1007/s00526-023-02637-w |
| URL الوصول: | http://arxiv.org/abs/2308.12830 |
| رقم الانضمام: | edsarx.2308.12830 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1007/s00526-023-02637-w |
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