变指数Lebesgue空间上Littlewood-Paley算子的多线性交换子（英文）

ON MULTILINEAR COMMUTATORS OF THE LITTLEWOOD-PALEY OPERATORS IN VARIABLE EXPONENT LEBESGUE SPACES

本文研究了Littlewood-Paley算子的多线性交换子在变指数Lebesgue空间上的有界性.基于原子分解和广义BMO范数,证明了这类多线性交换子在变指数Herz型Hardy空间上的有界性,推广了一些已知结果.

In this paper,we study the boundedness of multilinear commutators of the Littlewood-Paley operators in variable exponent Lebesgue spaces.Based on the atomic decom-position and generalization of the BMO norms,we also prove some boundedness results for such multilinear commutators in variable exponent Herz-type Hardy spaces,which essentially extend some known results.