Research Article

Complete membership to Kaplan classes of a certain class of functions

Published in: Quaestiones Mathematicae
Volume 45 , issue 7 , 2022 , pages: 1043–1048

DOI: 10.2989/16073606.2021.1927234

Author(s): Szymon Ignaciuk , Poland , Maciej Parol , Poland

Keywords: 30C45 , 30C55 , 44A05 , 30C45 , 30C55 , 44A05

Abstract

We determine the complete membership to Kaplan classes of a family of functions that can be presented in the form of integral operators I ₁(f, g; α, β) introduced by Kim and Merkes as well as I ₂(f, g; α) introduced by Ularu and Breaz. In this way we obtain close-to-convexity criteria for these functions.

« On multilayer reaction-diffusion problems: a semigroup approach, Part I

Lower bounds for the blow-up time of a nonlocal reaction-diffusion system with time-dependent coefficients »