Abstract. We generalize a new Hua's inequality and apply it to proof the boundedness of composition operator C φ from p-Bloch space β p (Y I (N,m,n;K)) to q-Bloch space β q (Y I (N,m,n;K)) in this paper, where Y I (N,m,n;K) denotes the first Cartan-Hartogs domain, and p 0 , q 0 .Mathematics subject classification (2010): 15A45, 47B33.

No abstract

In this paper, we introduce the weighted Bloch spaces ( ) ( ) , β p

Abstract.A Leslie-Erickson continuum hydrodynamic for flowing active nematics has been used to characterize active particle systems such as bacterial suspensions. The behavior of such a system under a plane pressure-driven Poiseuille flow is analyzed. When plate anchoring is tangential and normal, we find the apparent viscosity formula indicating a significant difference between tangential anchoring and normal anchoring conditions for both active rodlike and discoid nematics.