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Harmonic extension of Q-type space related to logarithmic functions
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This paper studies a class of Q-type spaces Qmlog,λ(Rn)related to loga-rithmic functions.We first investigate some basic properties of Qmlog,λ(Rn).Further,by the aid of Poisson integral and harmonic function spaces Hmlog,λ(Rn+1+),the harmonic extension of Qmlog,λ(Rn)and the boundary value problem of Hmlog,λ(Rn+1+)are obtained.
Q type spacePoisson integralharmonic extension
Jie CUI、Pengtao LI
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School of Mathematics and Statistics,Qingdao University,Qingdao 266071,China
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