Fourier multiplier theorems on Besov spaces under type and cotype conditions

DOI10.1215/17358787-2017-0011zbMath1391.42012arXiv1606.03272OpenAlexW2415001424MaRDI QIDQ1697683

Jan Rozendaal, Mark C. Veraar

Publication date: 20 February 2018

Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.03272

zbMATH Keywords

Besov spacesextrapolationoperator-valued Fourier multiplierstype and cotypeFourier type

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Spaces of vector- and operator-valued functions (46E40) Multipliers for harmonic analysis in several variables (42B15) Geometry and structure of normed linear spaces (46B20) Linear operators on function spaces (general) (47B38)

Related Items (7)

Sharp growth rates for semigroups using resolvent bounds ⋮ Optimal rates of decay for operator semigroups on Hilbert spaces ⋮ Fourier multiplier theorems involving type and cotype ⋮ Stability properties of stochastic maximal \(L^p\)-regularity ⋮ Stability theory for semigroups using \((L^{p},L^{q})\) Fourier multipliers ⋮ Operator-valued Fourier-Haar multipliers on vector-valued \({L^1}\) spaces. II: A characterisation of finite dimensionality ⋮ Operator-valued \((L^p, L^q)\) Fourier multipliers and stability theory for evolution equations

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