Armenian Journal of Mathematics, 16(11)
2024; 1–19
Shared with The Gufo

Operator-Valued Fourier Multipliers on Vector-Valued Orlicz Spaces and their Applications

Jingshi Xu*, Yang Mei

Received: 2024-12-03 · Published: 2024-11-07

© 2024 The Author(s) and the original publisher.

CC BY 4.0 This work is licensed under a Creative Commons Attribution 4.0 International License.
Shared article.
Original title
Operator-Valued Fourier Multipliers on Vector-Valued Orlicz Spaces and their Applications
Authors
Jingshi Xu, Yang Mei
Source journal
Armenian Journal of Mathematics, 16(11)
Published
2024-11-07
Licence
Creative Commons Attribution 4.0 International
Original
https://doi.org/10.52737/18291163-2024.16.11-1-19

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 C0C0-semigroup via Fourier multipliers in vector-valued Orlicz spaces and establish the relationship between exponential stability and Fourier multipliers in vector-valued Orlicz spaces.
1 / ? 100% Open in new tab Download Cite

Loading the full text…

Download Follow Updates