Regularity for pseudoconvex domains and CR manifolds - 見る/開く

Theorem 5 (strongly visible ⇒ multiplicity-free). The slice plays a crucial role when we formulate a multiplicity-free theorem in the vector bundle case, as we have seen in Theorem

In [LN] we established the boundary Harnack inequality for positive p harmonic functions, 1 < p < ∞, vanishing on a portion of the boundary of a Lipschitz domain Ω ⊂ R n and

In particular, similar results hold for bounded and unbounded chord arc domains with small constant for which the harmonic measure with finite pole is asymptotically optimally

We construct a kernel which, when added to the Bergman kernel, eliminates all such poles, and in this way we successfully remove the obstruction to regularity of the Bergman

In particular, in view of the results of Guillemin [16] [17], this means that on Toeplitz operators T Q of order ≤ −n, the Dixmier trace Tr ω T Q coincides with the residual trace

Thus, if we color red the preimage by ζ of the negative real half axis and let black the preimage of the positive real half axis, then all the components of the preimage of the

Lions, “Existence and nonexistence results for semilinear elliptic prob- lems in unbounded domains,” Proceedings of the Royal Society of Edinburgh.. Section

These results will then be used to study Sobolev spaces on Lie manifolds with true boundary, which in turn, will be used to study weighted Sobolev spaces on polyhedral domains. The