SUN Hongyan, WANG Qiao. A second order Bourgain-Brézis-Mironescu type formula in Euclidean domainsJ. Journal of Beijing Normal University(Natural Science), 2026, 62(2): 147-156. DOI: 10.12202/j.0476-0301.2025154
Citation:
SUN Hongyan, WANG Qiao. A second order Bourgain-Brézis-Mironescu type formula in Euclidean domainsJ. Journal of Beijing Normal University(Natural Science), 2026, 62(2): 147-156. DOI: 10.12202/j.0476-0301.2025154
SUN Hongyan, WANG Qiao. A second order Bourgain-Brézis-Mironescu type formula in Euclidean domainsJ. Journal of Beijing Normal University(Natural Science), 2026, 62(2): 147-156. DOI: 10.12202/j.0476-0301.2025154
Citation:
SUN Hongyan, WANG Qiao. A second order Bourgain-Brézis-Mironescu type formula in Euclidean domainsJ. Journal of Beijing Normal University(Natural Science), 2026, 62(2): 147-156. DOI: 10.12202/j.0476-0301.2025154
A second order Bourgain-Brézis-Mironescu type formula in Euclidean domains
We build a second order Bourgain-Brézis-Mironescu(BBM) type formula in arbitrary Euclidean domains． As s \to 2^- , we obtained the convergence from s-order intrinisic Triebel-Lizorkin type semi-norm defined via second-order difference to an equivalence of second order Sobolev semi-norm．
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