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Schwarz type lemmas and their applications in Banach spaces
Shaolin Chen, Hidetaka Hamada, Saminathan Ponnusamy +1
The main purpose of this paper is to develop some methods to investigate the Schwarz type lemmas of holomorphic mappings and pluriharmonic mappings in Banach spaces. Initially, we…
Note on Improved Bohr Inequality for harmonic mappings
Saminathan Ponnusamy, Ramakrishnan Vijayakumar
In this paper, we give a new generalization of the Bohr inequality in refined form both for bounded analytic functions, and for sense-preserving harmonic functions with analytic pa…
Note on Weighted Bohr's Inequality
Ramakrishnan Vijayakumar
In this paper, first we give a new generalization of the Bohr's inequality for the class of bounded analytic functions and for the class of sense-preserving -quas…
Modifications of Bohr's inequality in various settings
Saminathan Ponnusamy, Ramakrishnan Vijayakumar, Karl-Joachim Wirths
The concept of Bohr radius for the class of bounded analytic functions was introduced by Harald Bohr in 1914. His initial result received greater interest and was sharpened-refined…
Generalized versions of Lipschitz conditions on the modulus of holomorphic functions
Saminathan Ponnusamy, Ramakrishnan Vijayakumar
In this paper, we establish Lipschitz conditions for the norm of holomorphic mappings between the unit ball in and a complex normed space. This e…