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Abstract
In this paper, we apply wavelets to study two classes of function spaces of harmonic functions: the weighted Besov spaces and Carleson spaces
. By a reproducing formula, we prove that the elements in these harmonic function spaces can be characterized by the Poisson integral of the functions in the Besov-Q spaces
.
Notes
Pengtao Li’s research is supported by NSFC [grant number 11171203], [grant number 11201280]; New Teacher’s Fund for Doctor Stations, Ministry of Education [grant number 20114402120003]; Foundation for Distinguished Young Talents in Higher Education of Guangdong, China, LYM11063. Qixiang Yang’s research is supported in part by NSFC [grant number 11271209]. Tao Qian’s research is supported in part by MYRG116(Y1-L3)-FST13- QT; MYRG115(Y1-L4)-FST13-QT; and FDCT 098/2012/A3.