Representations for the Bloch type semi-norm of Frechet differentiable\n mappings

2021/03/16 by Marijan Marković, Markovic, Marijan · 1 citation
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Meromorphic and Entire Functions

paper · pdf · doi:10.48550/arxiv.2103.09332

openalex publication_date 2021/03/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we give some results concerning Frechet differentiable mappings\nbetween domains in normed spaces with controlled growth. The results are mainly\nmotivated by Pavlovic's equality for the Bloch semi-norm of continuously\ndifferentiable mappings in the Bloch class on the unit ball of the Euclidean\nspace as well as the very recent Jocic's generalization of this result.\n

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