调和梯度的边值与Zygmund和Weierstrass函数的可微性
Boundary values of harmonic gradients and differentiability of Zygmund and Weierstrass functions
摘要：
本文研究了高维Zygmund函数和Weierstrass型级数的可微性。虽然这样的功能可能无处可微，我们表明，在适当的假设下，一组点的增量有界有界的豪斯多夫维数。
英文摘要：
We study differentiability properties of Zygmund functions and series of Weierstrass type in higher dimensions. While such functions may be nowhere differentiable, we show that, under appropriate assumptions, the set of points where the incremental quotients are bounded has maximal Hausdorff dimension.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
