This paper characterizes the boundedness and compactness of the generalized composition operator (C φf)(z) = ∫ z 0 f ′(φ(ξ))g(ξ)dξ from Bloch type spaces to QK type spaces.

We study a coalition formation game with externalities where each agent’s payoff depends on the entire partition (see, e.g., Bloch (1996)). As in Bloch (1996) and Ray and Vohra (1999), we assume that coalitions form sequentially and once a coalition forms, it cannot dissolve nor can its members forge new coalitions with the rest of the agents. However, instead of an exogenously given protocol, ...

We construct an example of a torus T over a field K for which the Galois symbol K(K;T, T )/nK(K;T, T ) → H(K,T [n] ⊗ T [n]) is not injective for some n. Here K(K;T, T ) is the Milnor K-group attached to T introduced by Somekawa. We show also that the motiveM(T×T ) gives a counterexample to another generalization of the Milnor-BlochKato conjecture (proposed by Beilinson).

introduction mahmoodabad county is located at the coastal region of the country, and it is neighbor of coastal areas where are full of tourism and entertainment applications. this has led to intense development towards suburbs and human domiciles in this county. the 432-unit of mehr housing project in the mahmoodabad, mazandaran province, iran, is located at the 52° 11' to 52° 29' eas...

Article history: Received 31 July 2015 Accepted 5 September 2016

We point out that, in a spontaneously broken U(1) gauge theory, inclusive processes, whose primary particles are mass eigenstates that do not coincide with the gauge eigenstates, are not free of infrared logarithms. The charge mixing allowed by symmetry breaking and the ensuing BlochNordsieck violation are here analyzed in a few relevant cases and in particular for processes initiated by longit...

We review the transcendental aspects of algebraic cycles, and explain how this relates to Calabi–Yau varieties. More precisely, after presenting a general overview, we begin with some rudimentary aspects of Hodge theory and algebraic cycles. We then introduce Deligne cohomology, as well as the generalized higher cycles due to Bloch that are connected to higher K-theory, and associated regulator...

1. INTRODUCTION. Although it is well known that every tetrahedron circum-scribes a sphere, the following two simple consequences apparently have not been previously recorded. First, any plane through the center of the inscribed sphere divides the tetrahedron into two smaller solids whose surface areas are equal if and only if their volumes are equal. Second, the centroid of the boundary surface...

We establish an explicit formula for the n-point correlation functions in the sense of Bloch-Okounkov for the irreducible representations of ĝl ∞ and W1+∞ of arbitrary positive integral levels.