Harmonic extension of <i>Q</i>-type space related to logarithmic functions

doi:10.3868/s140-DDD-024-0017-x

Front. Math. China

2024, Vol. 19

Issue (5) : 277-297 https://doi.org/10.3868/s140-DDD-024-0017-x

Harmonic extension of Q-type space related to logarithmic functions

Jie CUI(

), Pengtao LI(

)

School of Mathematics and Statistics, Qingdao University, Qingdao 266071, China

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Abstract

This paper studies a class of Q-type spaces $Q l o g, λ m (R n)$ related to logarithmic functions. We first investigate some basic properties of $Q l o g, λ m (R n)$ . Further, by the aid of Poisson integral and harmonic function spaces $H l o g, λ m (R + n + 1)$ , the harmonic extension of $Q l o g, λ m (R n)$ and the boundary value problem of $H l o g, λ m (R + n + 1)$ are obtained.

Keywords Q type space Poisson integral harmonic extension

Corresponding Author(s): Jie CUI,Pengtao LI

Online First Date: 15 October 2024 Issue Date: 31 October 2024

Cite this article:

Jie CUI,Pengtao LI. Harmonic extension of Q-type space related to logarithmic functions[J]. Front. Math. China, 2024, 19(5): 277-297.

URL:

https://academic.hep.com.cn/fmc/EN/10.3868/s140-DDD-024-0017-x
https://academic.hep.com.cn/fmc/EN/Y2024/V19/I5/277

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