A remark on a paper of F. Chiarenza and M. Frasca

التفاصيل البيبلوغرافية
العنوان: A remark on a paper of F. Chiarenza and M. Frasca
المؤلفون: Krylov, N. V.
سنة النشر: 2023
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Analysis of PDEs, 46E35, 42B25
الوصف: In 1990 F. Chiarenza and M. Frasca published a paper in which they generalized a result of C. Fefferman on estimates of the integral of $|bu|^{p}$ through the integral of $|Du|^{p}$ for $p>1$. Formally their proof is valid only for $d\geq 3$. We present here further generalization with a different proof in which $D $ is replaced with the fractional power of the Laplacian for any dimension $d\geq 1$.
Comment: 4 pages
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2310.12170
رقم الأكسشن: edsarx.2310.12170
قاعدة البيانات: arXiv