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Heat Kernels, Smoothness Estimates and Exponential Decay (1004.0193v1)
Published 1 Apr 2010 in math.CV and math.AP
Abstract: In this article, we establish Gaussian decay for the Box_b-heat kernel on polynomial models in C2. Our technique attains the exponential decay via a partial Fourier transform. On the transform side, the problem becomes finding quantitative smoothness estimates on a heat kernel associated to the weighted dbar-operator on L2(C). The bounds are established with Duhamel's formula and careful estimation.
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