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arXiv · 2605.20018

The Law of the iterated logaritm for smooth functions

José G. Llorente·Artur Nicolau
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Abstract

A version of the Law of the Iterated Logarithm for smooth functions in the upper-half space is proved. As a consequence, we show that certain size conditions on the gradient and the gradient of the laplacian of a smooth function, lead to self-improvement growth properties. The results are applied in situations where harmonicity is not present.

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José G. Llorente, Artur Nicolau. 2026-05-19. The Law of the iterated logaritm for smooth functions. https://arxiv.org/abs/2605.20018

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