Derivative Estima tes of It era ted Spherical Average and Ext ension

作     者：Meng WANG Jun Yan ZHAO Meng WANG;Jun Yan ZHAO

作者机构：Department of MathematicsZhejiang UniversityHangzhou 310027P.R.China Department of MathematicsZhejiang Normal UniversityJinhua 321004P.R.China 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2021年第37卷第7期

页      面：1109-1130页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Supported by National Natural Science Foundation of China (Grant Nos. 11771388, 11371316) the Natural Science Foundation of Zhejiang (Grant No. LQ20A010003) 

主　　题：H^(p)space spherical mean Bessel function H^(p)multiplier wave operator 

摘      要：In the paper,we study derivative estimates of the iterated spherical averages(At)^(N)(f).We obtain the optimal range of exponents(α,N,p)to ensure the L^(p)boundedness of P(■/■x)(A1)^(N)(f)for 1≤p≤∞,where P is a homogeneous polynomial of degree *** main theorem extends some known *** an application,we obtain the smallest N such that(A1)^(N):L^(p)(R^(n))→L_(α)^(p)(R^(n)).