Dai, Feng; Grafakos, Loukas; Pan, Zhulei; Yang, Dachun; Yuan, Wen; Zhang, Yangyang The Bourgain-Brezis-Mironescu formula on ball Banach function spaces. (English) Zbl 07802404 Math. Ann. 388, No. 2, 1691-1768 (2024). MSC: 46E35 26D10 42B25 26A33 PDFBibTeX XMLCite \textit{F. Dai} et al., Math. Ann. 388, No. 2, 1691--1768 (2024; Zbl 07802404) Full Text: DOI
Dai, Feng; Lin, Xiaosheng; Yang, Dachun; Yuan, Wen; Zhang, Yangyang Brezis-van Schaftingen-Yung formulae in ball Banach function spaces with applications to fractional Sobolev and Gagliardo-Nirenberg inequalities. (English) Zbl 1514.46025 Calc. Var. Partial Differ. Equ. 62, No. 2, Paper No. 56, 73 p. (2023). MSC: 46E35 26D10 42B25 26A33 35A23 PDFBibTeX XMLCite \textit{F. Dai} et al., Calc. Var. Partial Differ. Equ. 62, No. 2, Paper No. 56, 73 p. (2023; Zbl 1514.46025) Full Text: DOI arXiv
Dai, Feng; Lin, Xiaosheng; Yang, Dachun; Yuan, Wen; Zhang, Yangyang Poincaré inequality meets Brezis-Van Schaftingen-Yung formula on metric measure spaces. (English) Zbl 1504.46049 J. Funct. Anal. 283, No. 9, Article ID 109645, 52 p. (2022). MSC: 46E36 26D10 30L15 26A33 PDFBibTeX XMLCite \textit{F. Dai} et al., J. Funct. Anal. 283, No. 9, Article ID 109645, 52 p. (2022; Zbl 1504.46049) Full Text: DOI arXiv
Dai, Feng; Liu, Jun; Yang, Dachun; Yuan, Wen Littlewood-Paley characterizations of fractional Sobolev spaces via averages on balls. (English) Zbl 1414.46025 Proc. R. Soc. Edinb., Sect. A, Math. 148, No. 6, 1135-1163 (2018). MSC: 46E35 42B25 42B20 42B35 PDFBibTeX XMLCite \textit{F. Dai} et al., Proc. R. Soc. Edinb., Sect. A, Math. 148, No. 6, 1135--1163 (2018; Zbl 1414.46025) Full Text: DOI arXiv
Dai, Feng; Gogatishvili, Amiran; Yang, Dachun; Yuan, Wen Characterizations of Besov and Triebel-Lizorkin spaces via averages on balls. (English) Zbl 1331.46023 J. Math. Anal. Appl. 433, No. 2, 1350-1368 (2016). Reviewer: Hans Triebel (Jena) MSC: 46E35 42B35 PDFBibTeX XMLCite \textit{F. Dai} et al., J. Math. Anal. Appl. 433, No. 2, 1350--1368 (2016; Zbl 1331.46023) Full Text: DOI arXiv
Dai, Feng; Gogatishvili, Amiran; Yang, Dachun; Yuan, Wen Characterizations of Sobolev spaces via averages on balls. (English) Zbl 1346.46023 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 128, 86-99 (2015). MSC: 46E35 42B25 42B35 PDFBibTeX XMLCite \textit{F. Dai} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 128, 86--99 (2015; Zbl 1346.46023) Full Text: DOI