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

Jingshi Xu

Received N/A; revised N/A; accepted N/A

This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

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.

Author(s)

Related Articles

ON UNIQUENESS OF HOLOMORPHIC AND BOUNDED OUTSIDE THE CLOSED LOGARITHMIC SECTOR FUNCTIONS REPRESENTABLE BY LACUNARY POWER SERIES

COMPUTER DETECTING AND PROCESSING OF THE SIGNALS OF A FLAT-COIL ABSOLUTE-POSITION SENSOR BASED SEISMIC DETECTOR

ON q-LATTICES AND q-ALGEBRAS

ON INCREASING HAZARD RATE OF WAITING TIME IN THE ||1|∞MG MODEL

ON DISTRIBUTION’S CONSTANT SLOWLY VARYING COMPONENT

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

Subscribe to TheGufo Newsletter​

Subscribe to TheGufo Newsletter