In this work we prove a new Lp holomorphic extension result for functions defined on product Lipschitz surfaces with small Lipschitz constants in two complex variables. We define biparameter and partial Cauchy integral operators that play the role of boundary values for holomorphic functions on product Lipschitz domain. In the spirit of the application of David-Journé-Semmes [DJS85] and Christ’...

In this paper we define the fuzzy integral of a positive, measurable function, with respect to a fuzzy measure. We show that the monotone convergence theorem and Fatou’s lemma are still true in this new setting. We study some of the properties of this integral, and show that it coincides with another fuzzy integral defmed in the literature. Our main result is a convergence theorem, that is in a...

The purpose of this paper is to study the validity Stokes' Theorem for singular submanifolds and differential forms with singularities in Euclidean space. results are presented context Lebesgue Integration, but their proofs involve techniques from gauge integration spirit R.~Henstock, J.~Kurzweil W.~F.~Pfeffer. We manage prove a generalized on integral currents dimension $m$ whose sets have fin...