Weighted composition operators from Bloch-type into Bers-type spaces

In this paper we consider the weighted composition operator uC_{\varphi} from Bloch-type space B^{\alpha} into Bers-type space H_{\beta}^{\infty}, in three cases, \alpha>1, \alpha=1 and \alpha<1. We give the necessary and sufficient conditions for boundedness and compactness of the above operator.

The Cartan connection: sketches for a portrait of Kentaro Yano

We are describing the historical context in which Kentaro Yano prepared his doctoral dissertation under Elie Cartan’s coordination, and how this ´ work was published in Romania, with Analele S¸ tiint¸ifice ale Universit˘at¸ii “Al. I. Cuza”. We describe some of the many encounters made possible by Elie Cartan’s extraordinary creative contributions, which lead to a series of important collaborations, some of them of lasting impact until today

Further study on solutions of some non-linear homogeneous differential equations in connection to Brück conjecture

In this paper, using the theory of complex differential equations, we study the solution of some non-linear complex differential equations in connection to Brück conjecture which generalized some earlier results due to Pramanik, D. C. and Biswas, M., On solutions of some non-linear differential equations in connection to Bruck conjecture, Tamkang J. Math., 48 (2017), No. 4, 365–375; and Wang, H., Yang, L-Z. and Xu, H-Y., On some complex differential and difference equations concerning sharing function, Adv. Diff. Equ., 2014, 2014:274.

Generalized semi-open sets via ideals in topological space

In this paper we have introduced a new type of sets termed as µˆ-open sets which unifies semiopen sets and discussed some of its properties. We have also introduced another type of weak open sets termed as Iµˆ -open sets depending on a GT as well as an ideal on a topological space. Finally the concept of weakly Iτˆ -open sets are investigated.

"An algorithm for automorphisms of infinite dimensional Grassmann algebras"

"Let G be the infinite dimensional Grassmann algebra. In this study, we determine a subgroup of the automorphism group Aut(G) of the algebra G which is of an importance in the description of the group Aut(G). We give an infinite generating set for this subgroup and suggest an algorithm which shows how to express each automorphism as compositions of generating elements."