The purpose of this paper is to link informations on the application u 7→ gu with some growth conditions on the functions u and g subharmonic in the unit ball of R . Two kinds of growth are considered: the Bloch–type growth and growth conditions expressed through integrals involving involutions of the unit ball.

1.2 The theorem 1.1 contrasts the rank one case, where the secondary class of the flat bundle, associated to a representation ρ : π1(X) → GL1(C) = C ∗ is essentially the representation itself, so it may be completely arbitrary. But this freedom becomes limited when one looks at the line bundles over curves, corresponding via the Deligne-Ramakrishnan construction to elements of K2(X). The map r ...

We describe a construction of an object associated to the fundamental group of P−{0, 1,∞} in the Bloch-Kriz category of mixed Tate motives. This description involves Massey products of Steinberg symbols in the motivic cohomology of the ground field.

Recommended by Radu Precup The boundedness and compactness of the weighted composition operators from logarithmic Bloch-type spaces to Bloch-type spaces are studied here.

In the last few years, affect has entered field of politics through both media and political actors themselves. This article is based on hypothesis that images illustrate contemporary narratives in reflect different visual motifs which are linked to an iconographic tradition began art world. Through analysis published three newspapers Spain with largest general readership (El País, El Mundo, La...

This paper explores the body-schematic and body-imaginative processes that underlie individuals’ participation in public sphere via religious media ecologies. Utilising embodied cognition social critique, authors outline how subaltern counterpublics make use of body to enact micro-oppositions mainstream discourses. The also discloses origins higher objectivities (identity, sense togetherness, j...

By using the concept of the weak subordination, we examine the stability a class of analytic functions in the unit disk is said to be stable if it is closed under weak subordination for a class of admissible functions in complex Banach spaces. The stability of analytic functions in the following classes is discussed: Bloch class, little Bloch class, hyperbolic little Bloch class, extend Bloch c...

Let φ(z) = (φ 1 (z),. .. , φ n (z)) be a holomorphic self-map of U n and ψ(z) a holomorphic function on U n , where U n is the unit polydisk of C n. Let p ≥ 0, q ≥ 0, this paper gives some necessary and sufficient conditions for the weighted composition operator W ψ,φ induced by ψ and φ to be bounded and compact between p-Bloch space B p (U n) and q-Bloch space B q (U n).

Let φ be a holomorphic self-map of the open unit polydisk U in C and p, q > 0. In this paper, the generally weighted Bloch spaces B log(U ) are introduced, and the boundedness and compactness of composition operator Cφ from B p log(U ) to B log(U ) are investigated.