• SANJAY KUMAR

Articles written in Proceedings – Mathematical Sciences

• Common fixed points for weakly compatible maps

The purpose of this paper is to prove a common fixed point theorem, from the class of compatible continuous maps to a larger class of maps having weakly compatible maps without appeal to continuity, which generalizes the results of Jungck [3], Fisher [1], Kang and Kim [8], Jachymski [2], and Rhoades [9].

• Weighted Composition Operators on Weighted Bergman Spaces of Bounded Symmetric Domains

In this paper, we study the weighted compositon operators on weighted Bergman spaces of bounded symmetric domains. The necessary and sufficient conditions for a weighted composition operator $W_{\varphi,\psi}$ to be bounded and compact are studied by using the Carleson measure techniques. In the last section, we study the Schatten 𝑝-class weighted composition operators.

• Semigroups of transcendental entire functions and their dynamics

We investigate the dynamics of semigroups of transcendental entire functions using Fatou–Julia theory. Several results of the dynamics associated with iteration of a transcendental entire function have been extended to transcendental semigroups. We provide some condition for connectivity of the Julia set of the transcendental semigroups. We also study finitely generated transcendental semigroups, abelian transcendental semigroups and limit functions of transcendental semigroups on its invariant Fatou components.

• A criterion for quasinormality in $\mathbb{C^{n}}$

In this article, we give a Zalcman type renormalization result for thequasinormality of a family of holomorphic functions on a domain in $\mathbb{C^{n}}$ that takes values in a complete complex Hermitian manifold.

• # Proceedings – Mathematical Sciences

Volume 130, 2020
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019