On the localization and convergence of multiple Fourier integral by Bochner-Riesz means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

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On the localization and convergence of multiple Fourier integral by Bochner-Riesz means

Authors:	Yu Maohe

Institution:	(1) Kunming Hydropower Scientific Research Institute, 62 Hongshan East Road, 650033 Kunming, P. R. China

Abstract:	In this paper we consider $\mathop {\lim }\limits_{x \to \infty } B_k^a (f,x_0 )$ , in one case that f_x ₀ (t) is a ΛBMV function on 0, ∞], and in another case thatfεL ¹ _m-1(Rⁿ) and $\frac{{\partial ^k f}}{{\partial x^k }} \in BV(R^n )$ when \|k\|=m−1 and f(x)=0 when \|x−x₀\|<δ for some δ>0. Our theormes improve the results of Pan Wenjie (1]).

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