SCHATTEN-VON NEUMANN PROPERTIES OF BILINEAR HANKEL FORMS OF HIGHER WEIGHTS

摘要

Hankel forms of higher weights, on weighted Bergman spaces in the unit ball of C~d, were introduced by Peetre. Each Hankel form corresponds to a vector-valued holomorphic function, called the symbol of the form. In this paper we characterize bounded, compact and Schatten-von Neumann Sfp class (2 < p < co) Hankel forms in terms of the membership of the symbols in certain Besov spaces.