Operator-Valued Fourier Multipliers on Vector-Valued Orlicz Spaces and their Applications
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.
Authors
- Mei Yang (ORCID: https://orcid.org/0000-0002-4978-4163)
- Jingshi Xu (ORCID: https://orcid.org/0000-0002-5345-8950)
Institutions
- Guilin University of Electronic Technology (CN)
Publication Details
- Journal
- Armenian Journal of Mathematics
- Published
- 2024-11-07
- DOI
- https://doi.org/10.52737/18291163-2024.16.11-1-19
- Primary Topic
- Advanced Banach Space Theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China