Abstract
We discuss the semigroup domination on a Riemannian manifold with boundary. Our main interest is the Hodge-Kodaira Laplacian for differential forms. We consider two kinds of boundary conditions; the absolutely boundary condition and the relative boundary condition. Our main tool is the square field operator. We also develop a general theory of semigroup commutation.
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Dedicated to Professor Takeyuki Hida on his 70th birthday
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Shigekawa, I. (2001). Semigroup Domination on a Riemannian Manifold with Boundary. In: Accardi, L., Kuo, HH., Obata, N., Saito, K., Si, S., Streit, L. (eds) Recent Developments in Infinite-Dimensional Analysis and Quantum Probability. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0842-6_28
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DOI: https://doi.org/10.1007/978-94-010-0842-6_28
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