Year: 2024
Type: article
Abstract: In this paper, we extend the operator-valued Fourier multiplier theorem on Lebesgue spaces to vector-valued Orlicz spaces. Then we characterize the growth bound of a C0-semigroup via Fourier multipliers in vector-valued Orlicz spaces and establish the relationship between exponential stability and Fourier multipliers in vector-valued Orlicz spaces.
Source: Armenian Journal of Mathematics
Authors: Jingshi Xu, Yang Mei
Institution: Guilin University of Electronic Technology
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
Award: G7219545044
OpenAlex ID: W4408243447