We establish an asymptotic expansion for families of Bergman kernels. The key idea is to use the superconnection as in the local family index theorem. Superconnexion et noyaux de Bergman en famille Résumé. Nous annonçons des résultats sur le développement asymptotique du noyau de Bergman en famille. Let W,S be smooth compact complex manifolds. Let π : W → S be a holomorphic submersion with comp...

Let P be the orthogonal projection from L(B, dv) onto the Bergman space La(B, dv) of the unit ball in C . In this paper we characterize the membership of commutators of the form [Mf , P ] in the norm ideal CΦ, where the symmetric gauge function Φ is allowed to be arbitrary.

Little, if any, glucose is absorbed from the alimentary tract of the grazing ruminant and it appears that significant absorption of glucose only occurs in ruminants consuming relatively large amounts of grain (Bergman, 1973 ; Lindsay, 1978). In spite of this, ruminants have an absolute requirement for glucose which is similar to that of nonruminants. Certainly glucose is an essential metabolite...

Submitted for the MAR08 Meeting of The American Physical Society Spectral representation theory of graded composite materials K.L. CHAN, C.M. KWOK, K.W. YU, The Chinese University of Hong Kong — In graded composite materials, the physical properties can vary continuously in space and it may give different physical phenomena when compared with homogeneous materials. The Bergman-Milton spectral r...

We characterize the weights for which we have boundedness of standard weighted integral operators induced by Bergman-Besov kernels acting between two Lebesgue classes on unit (...)