Subelliptic estimates for the ∂¯-Neumann operator on piecewise smooth strictly pseudoconvex domains

Lp estimates for the Cauchy–Riemann operator on q-convex intersections in ℂn

“…Henkin-Iordan-Kohn [8], Michel-Shaw [15] obtained subelliptic 1 2 -estimates for the ∂-Neumann operator on piecewise smooth intersections of strongly pseudoconvex domains. Henkin-Iordan, [7] showed compactness of the ∂-Neumann operator on bounded pseudoconvex domains D with B-regular boundary (i.e.…”

The $$\overline \partial $$ -Neumann operator on Lipschitz q-pseudoconvex domains

“…HenkinIordan-Kohn [15] and Michel-Shaw [21] obtained subelliptic (1/2)-estimates for N on piecewise smooth intersections of strictly pseudoconvex domains. Straube [24] obtained subelliptic ε-estimates (ε < 1 2 ) for piecewise smooth intersections of finite 1-D'Angelo type domains.…”

A quantitative analysis of Oka’s lemma

“…In the non-smooth case, 1 2 -estimates on strictly pseudoconvex domains have been shown by Michel and Shaw [34], and independently by Henkin, Iordan, and Kohn [24]. Straube has obtained subelliptic estimates on non-smooth domains in [39], and he also discusses applications of Catlin's compactness condition to the non-smooth case.…”