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CONVERGENCE OF A CLASS OF MEANS OF H^p FUNCTIONS(0<p<1)ON COMPACT LIE GROUPS 被引量:1

CONVERGENCE OF A CLASS OF MEANS OF H^p FUNCTIONS(0<p<1)ON COMPACT LIE GROUPS
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摘要 In this paper we study the convergence nf a class of means on H^p(G)(0<p<1),the means take the Bochner-Riesz means in[1],the generalized Bochner-Riesz means in[2],and the operators T^(Φ_r)in[3]as special cases.We obtain weak-type estimates for the associated maximal operators and the maximal mean boundedness for the means. In this paper we study the convergence nf a class of means on H^p(G)(0<p<1),the means take the Bochner-Riesz means in[1],the generalized Bochner-Riesz means in[2],and the operators T^(Φ_r)in[3]as special cases.We obtain weak-type estimates for the associated maximal operators and the maximal mean boundedness for the means.
出处 《Analysis in Theory and Applications》 1993年第4期37-45,共9页 分析理论与应用(英文刊)
基金 Supported by NSFC
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