In this paper, we study the boundedness of multilinear fractional integral operators on variable exponent spaces.It is obtained that these operators are both bounded from strong and weak Lebesgue spaces with variable exponent spaces into Lipschitz type spaces with variable exponent, which gives some new results for previous published papers.A simple way is obtained that is colsely linked with a class of fractional integral operator.
A multilinear version of the Boyd interpolation theorem is proved in the context of quasi-normed rearrangement-invariant spaces. A multilinear Marcinkiewicz interpolation theorem is obtained as a corollary. Several applications are given, including estimates for bilinear fractional integrals.
Berzelius failed to make use of Faraday's electrochemical laws in his laborious determination of equivalent weights.