Harmonic extension of Q-type space related to logarithmic functions  

作　　者：Jie CUI Pengtao LI 

机构地区：[1]School of Mathematics and Statistics,Qingdao University,Qingdao 266071,China

出　　处：《Frontiers of Mathematics in China》2024年第5期277-297,共21页中国高等学校学术文摘·数学（英文）

摘　　要：This paper studies a class of Q-type spaces Q^(m)_(log,λ)(R^(n))related to logarithmic functions.We first investigate some basic properties ofQ^(m)_(log,λ)(R^(n)).Further,by the aid of Poisson integral and harmonic function spaces H^(m)_(log,λ)(R_(+)^(n+1)),the harmonic extension of Q^(m)_(log,λ)(R^(n))and the boundary value problem of H^(m)_(log,λ)(R_(+)^(n+1))are obtained.

关 键 词：Q type space Poisson integral harmonic extension 

分 类 号：O17[理学—数学]