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Boundedness of iterated spherical average
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作者 Rui BU Qiang HUANG yingjun shao 《Frontiers of Mathematics in China》 CSCD 2023年第2期125-137,共13页
The iterated spherical average∆(A1)^(N)is an important operator in harmonic analysis,and has very important applications in approximation theory and probability theory,where∆is the Laplacian,A_(1)is the unit spherical... The iterated spherical average∆(A1)^(N)is an important operator in harmonic analysis,and has very important applications in approximation theory and probability theory,where∆is the Laplacian,A_(1)is the unit spherical average and(A1)^(N)is its iteration.In this paper,we mainly study the sufficient and necessary conditions for the boundedness of this operator in Besov-Lipschitz space,and prove the boundedness of the operator in Triebel-Lizorkin space.Moreover,we use above conclusions to improve the existing results of the boundedness of this operator in L^(p)space. 展开更多
关键词 Iterated spherical average Besov-Lipschitz space Triebel-Lizorkin space L^(p)space
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