Abstract
We discuss the Lp multiplier theorem for a semigroup acting on vector valued functions. A typical example is the Hodge-Kodaira operator on a Riemannian manifold. We give a probabilistic proof. Our main tools are the semigroup domination and the Littlewood-Paley inequality.
Keywords
- Riemannian Manifold
- Vector Bundle
- Bianchi Identity
- Dual Frame
- Beltrami Operator
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© 2005 Springer-Verlag Berlin/Heidelberg
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Shigekawa, I. (2005). Lp Multiplier Theorem for the Hodge-Kodaira Operator. In: Émery, M., Ledoux, M., Yor, M. (eds) Séminaire de Probabilités XXXVIII. Lecture Notes in Mathematics, vol 1857. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-31449-3_16
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DOI: https://doi.org/10.1007/978-3-540-31449-3_16
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-23973-4
Online ISBN: 978-3-540-31449-3
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