A representation theorem in strictly pseudoconvex domains

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Sobolev Space Projections in Strictly Pseudoconvex Domains

The orthogonal projection from a Sobolev space WS(Q) onto the subspace of holomorphic functions is studied. This analogue of the Bergman projection is shown to satisfy regularity estimates in higher Sobolev norms when ß is a smooth bounded strictly pseudoconvex domain in C". The Bergman projection P0: L2(ü) -» L2(S2) n {holomorphic functions}, where S2 c C" is a smooth bounded domain, has prove...

متن کامل

Scattering Theory for Strictly Pseudoconvex Domains

The spectral theory of a metric of Bergman type on a strictly pseudoconvex manifold is described and the scattering matrix is shown to be a pseudodifferential operator of Heisenberg type.

متن کامل

Hankel Operators and the Dixmier Trace on Strictly Pseudoconvex Domains

Generalizing earlier results for the disc and the ball, we give a formula for the Dixmier trace of the product of 2n Hankel operators on Bergman spaces of strictly pseudoconvex domains in C. The answer turns out to involve the dual Levi form evaluated on boundary derivatives of the symbols. Our main tool is the theory of generalized Toeplitz operators due to Boutet de Monvel and Guillemin. 2000...

متن کامل

Deformation of Einstein Metrics and L Cohomology on Strictly Pseudoconvex Domains

We construct new complete Einstein metrics on a smoothly bounded strictly pseudoconvex domain of a Stein manifold. The approach that we take here is to deform the KählerEinstein metric constructed by Cheng and Yau, which generalizes a work of Biquard on the deformations of the complex hyperbolic metric on the unit ball. Recasting the problem into the question of vanishing of an L cohomology and...

متن کامل

On proper harmonic maps between strictly pseudoconvex domains with Kähler metrics of Bergman type

where (h) is the inverse of the matrix (hij), ∆M = ∑ i,j h ∂ij and Γ s tγ denote the Christoffel symbols of the Hermitian metric g on N . It follows from (1.1) that if u is holomorphic, then u must be harmonic. Thus, it is natural to ask under what circumstances a harmonic map is holomorphic or antiholomorphic. Under the assumption that both M and N are compact, Siu [31] demonstrated that if th...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Illinois Journal of Mathematics

سال: 1982

ISSN: 0019-2082

DOI: 10.1215/ijm/1256046898