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math.FA2026
Operator-valued Fourier multipliers of bounded s-variation
Chenxi Deng, Emiel Lorist, Mark Veraar
In this paper, we establish an operator-valued Fourier multiplier theorem in weighted Lebesgue spaces, Besov and Triebel--Lizorkin spaces, assuming the multiplier has …
math.FA2024
Improved polynomial decay for unbounded semigroups
Chenxi Deng, Jan Rozendaal, Mark Veraar
We obtain polynomial decay rates for -semigroups, assuming that the resolvent grows polynomially at infinity in the complex right half-plane. Our results do not require the…
math.FA2024
Strongly Kreiss Bounded Operators in UMD Banach Spaces
Chenxi Deng, Emiel Lorist, Mark Veraar
In this paper we give growth estimates for for in the case is a strongly Kreiss bounded operator on a UMD Banach space . In several special cases we…