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

Author(s)

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

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.

DOI: 10.52737/18291163-2024.16.11-1-19 Armenian Journal of Mathematics, 16(11) 1-19

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Keywords

Fourier Multiplier, Orlicz Space, Operator-Valued, Semigroup

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