On the Construction of Hölder and Proximal Subderivatives
Xianfu Wang
Simon Fraser University/Centre for Experimental and Constructive
Mathematics
ABSTRACT.
We construct Lipschitz functions such that for
all s>0 they are
s-Hölder, and so proximally,
subdifferentiable only on dyadic rationals
and nowhere else.
As applications we construct Lipschitz functions with prescribed
Hölder and approximate subderivatives.