Denis Brazke, Armin Schikorra, Yannick Sire
Published 2019-03-27Version 1
Let $\mathcal{M}$ be a Riemannian manifold with a metric such that the manifold is Ahlfors-regular and the Ricci curvature is bounded from below. We also assume a bound on the gradient of the heat kernel. We characterize BMO-functions $u: \mathcal{M} \to \mathbb{R}$ by a Carleson measure condition of their $\sigma$-harmonic extension $U: \mathcal{M} \times (0,\infty) \to \mathbb{R}$.
On the Trace of $W_{a}^{m+1,1}(\mathbb{R}_{+}^{n+1})$
Convergence and Divergence of Approximations in terms of the Derivatives of Heat Kernel
Gradient Estimate for the Heat Kernel on the Sierpiński Cable System
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