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p-adic域,p-级数域的整环子群上微积分算子的Hardy空间有界性
Boundedness of the Calculus Operators on Hardy Spaces Over the Subgroup of Integers of a p adic or p series Field
【摘要】 F.Schipp和W.R.Wade在[1]中证明了单位方体上Dyadic二元微积分算子的混合Hardy空间H#(I×I)的弱型.本文证明了padic域,p级数域的整环子群上一元和二元积分算子与微积分算子的Hr(G)与H#(G×G)(0<r1)有界性.
【Abstract】 F. Schipp and W.R. Wade proved that thetwo-dimensional dyadic calculus operator is of weak-type(1 1)with respect to the hybrid Hardy space H #(I×I). In this paper, we obtained the results that the one-dimensional and two-dimensional calculus operators are respectively bounded on Hardy space H r(G) and hybrid Hardy space H #(G×G) over the subgroup of integers of ap adic or p series field.
【关键词】 p-adic域;
p-级数域;
整环子群;
导数与积分;
Hardy空间;
【Key words】 adic; p series field; Subgroup of integer; Derivative and integral; Hardy space;
【Key words】 adic; p series field; Subgroup of integer; Derivative and integral; Hardy space;
- 【文献出处】 数学学报 ,ACTA MATHEMATICA SINICA , 编辑部邮箱 ,1998年05期
- 【分类号】O153.3,O153.4
- 【下载频次】46