Some estimates of the norms of derivatives of holomorphic functions and their application to problems with initial values
type: Item
instance of: scholarly article
title: Some estimates of the norms of derivatives of holomorphic functions and their application to problems with initial values
zbMATH Open document ID: 0547.35019
DOI: 10.4171/ZAA/86
author: G. F. Mandzhavidze
author: Wolfgang Tutschke
published in: Zeitschrift für Analysis und ihre Anwendungen
publication date: 1984-01-01T00:00:00Z
review text: On prouve certaines estimations a priori pour les fonctions holomorphes, qui sont utilisées pour obtenir un résultat d'existence des solutions du problème de Cauchy dans la classe des fonctions analytiques généralisées de I. N. Vekua, par la méthode des échelles d'espaces de Banach d'Ovsyannikov.
Mathematics Subject Classification ID: 35F10
Mathematics Subject Classification ID: 30G20
Mathematics Subject Classification ID: 35B45
zbMATH DE Number: 3871859
zbMATH Keywords: holomorphic functions
zbMATH Keywords: Cauchy problem
zbMATH Keywords: existence
zbMATH Keywords: generalized analytic functions
zbMATH Keywords: a priori estimates
reviewed by: Viorel Iftimie
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.4171/zaa/86
OpenAlex ID: W2561714001
Recommended article: Estimates for derivatives of holomorphic functions in a hyperbolic domain
Recommended article: Estimates of the \(L^p\)-norms of derivatives in spaces of entire functions
Recommended article: Estimates for derivatives of holomorphic functions in pseudoconvex domains
Recommended article: The derivative of a holomorphic function and estimates of the Poincaré density
Recommended article: Q4133897
Recommended article: Estimates on derivatives and logarithmic derivatives of holomorphic functions and Picard's theorem
Recommended article: Estimates on partial derivatives and logarithmic partial derivatives of holomorphic functions on polydiscs and beyond
Recommended article: Q5232685
Recommended article: Q3706048
Recommended article: ESTIMATES FOR CERTAIN HOLOMORPHIC FUNCTIONS AT THE BOUNDARY
description: scientific article; zbMATH DE number 3871859