Relations between Kondratiev spaces and refined localization Triebel-Lizorkin spaces

التفاصيل البيبلوغرافية
العنوان: Relations between Kondratiev spaces and refined localization Triebel-Lizorkin spaces
المؤلفون: Hansen, Markus, Scharf, Benjamin, Schneider, Cornelia
سنة النشر: 2024
المجموعة: Computer Science
Mathematics
مصطلحات موضوعية: Mathematics - Analysis of PDEs, Mathematics - Functional Analysis, Mathematics - Numerical Analysis
الوصف: We investigate the close relation between certain weighted Sobolev spaces (Kondratiev spaces) and refined localization spaces from introduced by Triebel [39,40]. In particular, using a characterization for refined localization spaces from Scharf [32], we considerably improve an embedding from Hansen [17]. This embedding is of special interest in connection with convergence rates for adaptive approximation schemes.
Comment: 26 pages
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2404.17359
رقم الأكسشن: edsarx.2404.17359
قاعدة البيانات: arXiv