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2020•arXiv (Cornell University)Open access

$ {C}^2(\mathbb{R}^2) $ Nonnegative Extension by Bounded-depth Operators

Fushuai Jiang, Garving K. Luli

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Abstract

In this paper, we prove the existence of a nonnegative parameter-dependent (nonlinear) $ C^2(\mathbb{R}^2) $ extension operator with bounded depth.

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In this paper, we prove the existence of a nonnegative parameter-dependent (nonlinear) $ C^2(\mathbb{R}^2) $ extension operator with bounded depth.

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Available abstract

In this paper, we prove the existence of a nonnegative parameter-dependent (nonlinear) $ C^2(\mathbb{R}^2) $ extension operator with bounded depth.

Key concepts: Bounded function, Extension (predicate logic), Mathematics, Operator (biology), Nonlinear system, Pure mathematics, Bounded operator, Discrete mathematics

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