The paper deals with the solution of initial value problems in scales of Banach spaces of generalized analytic functions. To this end a priori estimates of holomorphic functions are given, which allow to solve the initial value problems mentioned above in -spaces.
Cite this article
G.F. Mandzhavidze, Wolfgang Tutschke, Some estimates of the norms of derivatives of holomorphic functions, and their application to initial value problems (in Russian). Z. Anal. Anwend. 3 (1984), no. 1, pp. 1–5DOI 10.4171/ZAA/86