Boundedness of θ-type Calderon-Zygmund operators on non-homogeneous metric measure space  

作　　者：Chol RI Zhenqiu ZHANG 

机构地区：[1]Department of Mathematics, Kim Hyong Jik Normal University, PyongYang, DPR Korea [2]School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, China

出　　处：《Frontiers of Mathematics in China》2016年第1期141-153,共13页中国高等学校学术文摘·数学（英文）

基　　金：This work was supported in part by the National Natural Science Foundation of China （Grant No. 11271091）.

摘　　要：Let （X,d,μ） be a metric measure space satisfying both the upper doubling and the geometrically doubling conditions in the sense of HytSnen. Under this assumption, we prove that θ-type Calderon-Zygmund operators which are bounded on L2（μ） are also bounded from L∞（μ） into RBMO（μ） and from H1,∞at（μ） into L1（μ）.Let （X,d,μ） be a metric measure space satisfying both the upper doubling and the geometrically doubling conditions in the sense of HytSnen. Under this assumption, we prove that θ-type Calderon-Zygmund operators which are bounded on L2（μ） are also bounded from L∞（μ） into RBMO（μ） and from H1,∞at（μ） into L1（μ）.

关 键 词：Non-homogeneous spaces θ-type Calderon-Zygmund operators RBMO（μ） space H1 ∞at（μ） space 

分 类 号：O189.11[理学—数学] O177.6[理学—基础数学]