Littlewood-Paley operators on Morrey spaces with variable exponent.

ABSTRACT: By applying the vector-valued inequalities for the Littlewood-Paley operators and their commutators on Lebesgue spaces with variable exponent, the boundedness of the Littlewood-Paley operators, including the Lusin area integrals, the Littlewood-Paley g-functions and g μ *-functions, and their commutators generated by BMO functions, is obtained on the Morrey spaces with variable exponent.

SUBMITTER: Tao S 

PROVIDER: S-EPMC4142311 | biostudies-other | 2014

REPOSITORIES: biostudies-other