Abstract
We prove a new Fourier multiplier theorem for operator-valued symbols in UMD spaces with property (α) by making simultaneous use of the various good geometric properties of the Banach spaces in question that are available. Our sufficient condition intersects the known Mihlin-Lizorkin and Hörmander type assumptions.
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Dedicated to Professor Philippe Clément on the occasion of his retirement
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© 2006 Birkhäuser Verlag Basel/Switzerland
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Hytönen, T.P. (2006). Reduced Mihlin-Lizorkin Multiplier Theorem in Vector-valued L p Spaces. In: Koelink, E., van Neerven, J., de Pagter, B., Sweers, G., Luger, A., Woracek, H. (eds) Partial Differential Equations and Functional Analysis. Operator Theory: Advances and Applications, vol 168. Birkhäuser Basel. https://doi.org/10.1007/3-7643-7601-5_9
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DOI: https://doi.org/10.1007/3-7643-7601-5_9
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-7643-7600-0
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