一类次线性算子在齐型广义Orlicz-Campanato空间上的加权有界性

Weighted Boundedness of Some Sublinear Operators in Generalized Orlicz-Campanato Spaces of Homogeneous Type

设X是齐型空间,Φ为Young函数,并设次线性算子T是从LΦ(X,ω)到LΦ(X+,β)有界的.建立了算子T从广义Orlicz-Campanato空间LΦ,φ(X,ω)到LΦ,φ(X+,β)的加权有界性,并特别建立了广义极大算子M的有界性.

Let X the homogeneous type space, φ be a Young function, suppose that sublinear operator T is bounded from L^φ（X, ω） to L^φ（X^＋, β）, then it holds that T is weighted and bounded from generalized Orlicz-Campanato space L^φ φ（X, ω） to L^φ φ（X^＋,β）. In particular, the boundedness of generalized maximal operator M^- is also derived.