Lipschitz estimates for rough fractional multilinear integral operators on variable local generalized Morrey spaces

A. Akbulut, I. Ekincioglu, S. Z. Khaligova

We obtain the Lipschitz boundedness for a class of fractional multilinear integral operators I_Ω,α^A,m with rough kernels Ω ∈ L_s(S^n-1), s>n/(n-α) on the variable exponent local generalized Morrey spaces Mp(.),φ^{x₀}, variable exponent generalized Morrey spaces Mp(.),φ and variable exponent vanishing generalized Morrey spaces VMp(.),φ, where the functions A belong to homogeneous Lipschitz space Λ_β, 0


Advanced Studies: Euro-Tbilisi Mathematical Journal, Vol. 16(2) (2023), pp. 63-77