Multilinear fractional type operators and their commutators on Hardy spaces with variable exponents

18 Jul 2019 · Tan Jian ·

In this article, we show that multilinear fractional type operators are bounded from product Hardy spaces with variable exponents into Lebesgue spaces with variable exponents via the atomic decomposition theory. We also study continuity properties of commutators of multilinear fractional type operators on product of certain Hardy spaces with variable exponents.