2023/10/27 by Dall'Ara, Gian Maria, Mongodi, Samuele
#32T27 #32w05 #35h20 #Classical Analysis and ODEs (math.CA) #Complex Variables (math.CV) #FOS: Mathematics
paper · doi:10.48550/arxiv.2310.18246
The problem of giving a (CR-)geometric description of the best possible order of a subelliptic estimate at a boundary point in the ∂-Neumann problem is largely open. In this paper, we introduce a novel technique based on a "∂-uncertainty principle" and, as an application, we determine the sharp order of subellipticity at the origin for a large class of Kohn's special domains in ambient dimension ≤ 5.