非齐性测度空间上的Marcinkiewicz积分的交换子的端点估计（英文）

Endpoint Estimates for Commutators of the Marcinkiewicz Integrals over Non-homogeneous Metric Measure Spaces

令(X,d,μ)是Hytnen给出的满足几何双倍与上有界双倍的度量测度空间.本文主要目的是去证明Marcinkiewicz积分的交换子从LlogL(μ)到L^(1,∞)(μ)及H_(atb)^(1,∞)(μ)到L^(1,∞)(μ)的有界性.

Let （X, d, μ） be a metric measure space satisfying both the geometrically dou- bling and the upper doubling conditions in the sense of Hyt5nen. The aim of this paper is to establish the boundedness of the commutators of the Marcinkiewicz integrals, from L log L（μ） to L^1,∞（μ） and form Hatb^1,∞（μ）to L^1,∞（μ） respectively.