The Block Decomposition of Musielak-Orlicz Herz Spaces and Its Applications
Function spaces and their related theories are important in the course of functional analysis.One of the interesting problems is the block decomposition of function spaces.It is because of that the boundedness of some classical operators on function spaces can be reduced to the uniform boundedness of these operators on corresponding blocks of the spaces.In the article,we present a block decomposition theorem for Musielak-Orlicz Herz spaces.As an application of the theorem,we offer a novel proof of the boundedness of a class of singular integral operators in homogeneous Musielak-Orlicz Herz spaces.
block decompositionssingular integral operatorsMusielak-Orlicz Herz spaces
NETL
NSTL
万方数据
