spaces in tubes and distributional boundary values
H² spaces of generalized half-planes
H² spaces of generalized half-planes
Hankel Operators on Bergman Spaces with Change of Weight.
Harmonic Bergman kernel for some balls.
Henkin-Ramirez formulas with weight factors
We construct a generalization of the Henkin-Ramírez (or Cauchy-Leray) kernels for the -equation. The generalization consists in multiplication by a weight factor and addition of suitable lower order terms, and is found via a representation as an “oscillating integral”. As special cases we consider weights which behave like a power of the distance to the boundary, like exp- with convex, and weights of polynomial decrease in . We also briefly consider kernels with singularities on subvarieties...
Higher asymptotics of the complex Monge-Ampère equation
Hilbert-valued forms and barriers on weakly pseudoconvex domains.
We introduce an alternative proof of the existence of certain Ck barrier maps, with polynomial explosion of the derivatives, on weakly pseudoconvex domains in Cn. Barriers of this sort have been constructed very recently by J. Michel and M.-C. Shaw, and have various applications. In our paper, the adaptation of Hörmander's L2 techniques to suitable vector-valued functions allows us to give a very simple approach of the problem and to improve some aspects of the result of Michel and Shaw, regarding...
Hölder Type Estimates for the -equation in Strongly Pseudoconvex Domains
Holomorphic Mappings from the Ball and Polydisc.
Holomorphic Morse Inequalities on Manifolds with Boundary
Let be a compact complex manifold with boundary and let be a high power of a hermitian holomorphic line bundle over When has no boundary, Demailly’s holomorphic Morse inequalities give asymptotic bounds on the dimensions of the Dolbeault cohomology groups with values in in terms of the curvature of We extend Demailly’s inequalities to the case when has a boundary by adding a boundary term expressed as a certain average of the curvature of the line bundle and the Levi curvature of the...
Holomorphic reproducing kernel for Kohn-Nierenberg domains in C...
Holomorphic Sobolev spaces on the ball [Book]
How to prove Fefferman's theorem without use of differential geometry