On Riesz means with respect to a cylindric distance function期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

On Riesz means with respect to a cylindric distance function

Authors:	Hajo Luers

Affiliation:	(1) FB Mathematik Arbeitsgruppe 5, Technische Hochschule, Schlossgartenstrasse 7, D-6100 Darmstadt

Abstract:	(1–)₊, — Rⁿ=R^j×R^k, ()=max{¦₁¦, ¦₁¦},=(₁,₂),₁R^J,₂R^k,j,k1,n=j+k. n=3 , (1–)₊[L¹(Rⁿ)]¹, >1/2; j=4, (1–)₊ R L^p(Rⁿ). $left\| {frac{1}{p} - frac{1}{{2}}} right\| geqq frac{{3}}{{2(n - 1)}}$ . The author would like to thank Professor W. Trebels for encouragement and valuable advice.

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