Mean Ergodicity of Multiplication Operators on the Bloch and Besov Spaces
F. Falahat, Z. Kamali
TL;DR
This paper characterizes the conditions under which multiplication operators are power bounded and mean ergodic on the Bloch and Besov spaces, providing a comprehensive analysis of their ergodic properties.
Contribution
It offers a complete characterization of power bounded and mean ergodic multiplication operators on the Bloch and little Bloch spaces, advancing understanding of their operator dynamics.
Findings
Characterization of power bounded multiplication operators
Conditions for mean ergodicity on Bloch and Besov spaces
Results on uniform mean ergodicity
Abstract
In this paper, the power boundedness and mean ergodicity of multiplication operators are investigated on the Bloch space B, the little Bloch space B0 and the Besov Space Bp. We completely characterize power bounded, mean ergodic and uniformly mean ergodic multiplication operators on B and B0.
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Taxonomy
TopicsHolomorphic and Operator Theory · Advanced Harmonic Analysis Research · Advanced Banach Space Theory