A note on a result of Saks and Zygmund on additive functions of rectangles
We modify the proof of the basic lemma of a paper of Saks and Zygmund on additive functions of rectangles.
math.AP↗
arXiv subjects
Juan J. Donaire
Publications and source records attributed to Juan J. Donaire.
Boundary values of harmonic gradients and differentiability of Zygmund and Weierstrass functions
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.
math.CA↗