Details

Autor(en) / Beteiligte

• Guangcai, Zhou
• Weixing, Zheng

Titel

Convolution operators onH super( )pH sub( )k super( )n

Ist Teil von

• Acta mathematica Sinica. English series, 1997-04, Vol.13 (2), p.145-154

Erscheinungsjahr

1997

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• LetG=H super( )pH sub( )k super( )n) be the (2n+1)-dimensional Heisenberg group over local fieldK. In this paper we prove some theorems about convolution operators onH super( )p(G) and vector-valued Hardy spaces. As an example, the distribution [int] k * phi dt mathord / vphantom phi dt [mid] t [mid] kern - nulldelimiterspace [mid] t [mid] for some phi S(G), xi phi =0 is a ramified 0-type kernel. These results can be applied to characterizeH super( )p(G) spaces by square functions.