Local Hardy Spaces over Local Fields

Abstract:

      Local Hardy spaces over R^ｎ have been discussed in[1],[2]and[3]and we get h_ｐ(R^ｎ)=Ｆ_p.2⁰（Ｒ^ｎ）. In this paper, by the Chebyshev equality and the properties of regular functionswe get the same result h_ｐ(K^ｎ)=F_ｐ.2⁰(K^ｎ), by which we set the relationships betweenfunction spaces and give a multiplier theorem.