Hardy factorization in terms of fractional commutators in Lorentz spaces  

作　　者：Nguyen Anh DAO 

机构地区：[1]Institute of Applied Mathematics,University of Economics Ho Chi Minh City,Ho Chi Minh City,Vietnam

出　　处：《Frontiers of Mathematics in China》2022年第5期853-873,共21页中国高等学校学术文摘·数学（英文）

基　　金：This research was funded by University of Economics Ho Chi Minh City,Vietnam.

摘　　要：We provide a constructive proof of H^(1)(R^(d))(the classical Hardy space)factorization in terms of fractional commutators in Lorentz spaces.As a direct application,we obtain a characterization of functions in BMO space.Furthermore,we also obtain a Lorentz compactness characterization of fractional commutators.

关 键 词：BMO CMO Lorentz space COMMUTATOR Hardy space Riesz potentia 

分 类 号：O17[理学—数学]