1. CMB 2016 (vol 60 pp. 104)
||An Extension of Nikishin's Factorization Theorem|
A Nikishin-Maurey characterization is given for bounded subsets
of weak-type Lebesgue spaces. New factorizations for linear and
multilinear operators are shown to follow.
Keywords:factorization, type, cotype, Banach spaces
2. CMB 1998 (vol 41 pp. 41)
||On the Clarke subdifferential of an integral functional on $L_p$, $1\leq p < \infty$ |
Given an integral functional defined on $L_p$, $1 \leq p <\infty$,
under a growth condition we give an upper bound of the Clarke
directional derivative and we obtain a nice inclusion between the
Clarke subdifferential of the integral functional and the set of
selections of the subdifferential of the integrand.
Keywords:Integral functional, integrand, epi-derivative
Categories:28A25, 49J52, 46E30