Lipschitz Estimates for Rough Fractional Multilinear İntegral Operators on Variable Local Generalized Morrey Spaces

Abstract

We obtain the Lipschitz boundedness for a class of fractional multilinear integral operators IΩA, m, α with rough kernels Ω ∈ Ls(Sn−1), s > n/(n − α) on the variable exponent local generalized Morrey spaces (Equation presented), variable exponent generalized Morrey spaces Mp(·), φ and variable exponent vanishing generalized Morrey spaces V Mp(·), φ, where the functions A belong to homogeneous Lipschitz space Λ β, 0 < β < 1. © Seismological Society of America.