Extrapolation, a technique to estimate

Laszlo Lempert

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arXiv · 1507.06216

Extrapolation, a technique to estimate

Laszlo Lempert

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Abstract

We introduce a technique to estimate a linear operator by embedding it in a family $A_t$ of operators, $t\in(\sigma_0,\infty)$, with suitable curvature properties. One can then estimate the norm of each $A_t$ by bounds that hold in the limit $t\to\sigma_0$, respectively, $t\to\infty$. We illustrate this technique on an extension problem that arises in complex geometry.

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Laszlo Lempert. 2015-07-22. Extrapolation, a technique to estimate. https://arxiv.org/abs/1507.06216

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