Let ϕ be a real-valued plurisubharmonic function on [Formula: see text] whose complex Hessian has uniformly comparable eigenvalues, and let [Formula: see text] be the Fock space induced by ϕ. In this paper, we conclude that the Bergman projection is bounded from the pth Lebesgue space [Formula: see text] to [Formula: see text] for [Formula: see text]. As a remark, we claim that Bergman projecti...

Figure-ground assignment to a contour is a fundamental stage in visual processing. The current paper introduces a novel, highly general dynamic cue to figure-ground assignment: "Convex Motion." Across six experiments, subjects showed a strong preference to assign figure and ground to a dynamically deforming contour such that the moving contour segment was convex rather than concave. Experiments...

Introduction. A general question which is of interest is the following. Suppose that ƒ is a mapping of a compact metric continuum X onto a metric space F. Under what conditions is there an embedding of X and Y in E (Euclidean n-space) or H (Hubert space) so that ƒ is topologically equivalent to a projection onto Y defined by some collection of parallel hyperplanes? Theorem 1 below provides an a...

The paper continues the study of a class of holomorphic Besov spaces on bounded symmetric domains which was initiated in [18]. Several new descriptions of these Besov spaces are given in terms of weighted Bergman projections and fractional differential operators. These new characterizations are then applied to obtain results about the duality of, and Hankel operators on, weighted Bergman spaces...

For the Galois closure Xgal of a generic projection from a surface X, it is believed that π1(Xgal) gives rise to new invariants of X. However, in all examples this group is surprisingly simple. In this article, we offer an explanation for this phenomenon: We compute a quotient of π1(Xgal) that depends on π1(X) and data from the generic projection only. In all known examples, this quotient is in...

An increasing number of people, sometime during their lifetime, have contact with people from different cultures than the ones they are best acquainted with. A very common phenomenon in such contacts is that misunderstandings arise because one has, in some way, projected expectations which are based on one's own culture on the behaviour of others. In order to avoid unjustified projections of th...

We study the existence of shape-preserving projections and, more generally, the existence of shape-preserving operators with a given ((xed) action.

The study of sufficient enlargements of unit balls of Banach spaces forms a natural line of attack of some well-known open problems of Banach space theory. The purpose of the paper is to present known results on sufficient enlargements and to state some open problems.

The international trade network (ITN) has received renewed multidisciplinary interest due to recent advances in network theory. However, it is still unclear whether a network approach conveys additional, nontrivial information with respect to traditional international-economics analyses that describe world trade only in terms of local (first-order) properties. In this and in a companion paper, ...