Titlebook: Complex Analysis; Proceedings of the I Klas Diederich Conference proceedings 1991 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschwe

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itinerary

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,Smooth proper modifications of compact K?hler manifolds,We study the class of compact complex manifolds which are proper modifications of compact K?hler manifolds. It is shown, by means of new results about positive .-closed currents, that they carry a balanced metric. The notion of p-K?hler manifold is introduced in order to attempt a classification of these modifications.

事情

,Lp-Estimates for ?? in ?,Fornaess and Sibony [3] proved the following result on the one dimensional ??-operator:Theorem. 1 < . ≤ 2.

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Horizon

Scalar Curvature and Twistor Geometry,Let (M, g) be a 2n-dimensional oriented Riemannian manifold, let P(M) = P(M, SO(2n)) be the principal SO(2n)-bundle of oriented orthonormal frames over M and let Z(M) = ./. be the . of M.

Inferior

,Lp-Estimates with Loss for the Bergman Projection and the Canonical Solution to ??,The aim of this note is to show that, in pseudo-convex domains, the Bergman projection and the canonical solution to the ??-equation satisfy . . estimates with loss: for . > 2, there exists . = .(.) > 2 so that the solution is in . . when the data is in . ..

Terrace

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,Representing Measures in the Spectrum of ,(Ω),Let Ω be a domain in ?., 0 ∈ Ω and denote by .(Ω) the analytic functions on Ω. (Ω) = .(Ω) ? .(Ω) and .(Ω) = .(Ω) ? .(Ω?) We denote by . the spectrum (= the multiplicative linear functionals) of .(Ω).