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- W2023004311 abstract "Suppose that X is a vector field on a manifold M whose flow, exp tX, exists for all time. If μ is a measure on M for which the induced measures μt≡(exptX)*μ are absolutely continuous with respect to μ, it is of interest to establish bounds on the Lp (μ) norm of the Radon-Nikodym derivative dμt/dμ. We establish such bounds in terms of the divergence of the vector field X. We then specilize M to be a complex manifold and derive reverse hypercontractivity bounds and reverse logarithmic Sololev inequalities in some holomorphic function spaces. We give examples on Cm and on the Riemann surface for z1/n." @default.
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- W2023004311 date "2001-10-01" @default.
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- W2023004311 title "Reverse hypercontractivity over manifolds" @default.
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- W2023004311 doi "https://doi.org/10.1007/bf02384558" @default.
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