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arXiv · 2604.04268

Bernstein inequality on parabolic domains

Yuan Xu
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Abstract

Several families of sharp Bernstein inequalities are established on the weighted $L^2$ space over parabolic domains, which include bounded or unbounded rotational paraboloids and parabolic surfaces. The main tool is a second-order differential operator satisfied by a specific basis of orthogonal polynomials in weighted $L^2$ space.

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Yuan Xu. 2026-04-05. Bernstein inequality on parabolic domains. https://arxiv.org/abs/2604.04268

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