Hiriart-urruty-phelps-like formula for the subdifferential of integral sums

Abstract

We provide subdifferential calculus rules for continuous sums parametrized in measurable spaces that use the approximate subdifferentials of the data functions. As in Hiriart-Urruty and Phelps (J. Funct. Anal. 118: 154-166, 1993) given for finite sums, t