schrÖdinger最大算子的估计——复杂时间长曲线

IF 0.7 4区数学 Q2 MATHEMATICS

Journal of the Korean Mathematical Society Pub Date : 2020-01-01 DOI:10.4134/JKMS.J180558

Yao-ming Niu, Ying Xue

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引用次数: 2

摘要

．本文给出了算子P ta，γ f (cid:0) Γ(x,t) (cid:1)沿复时间曲线的l2极大估计的一些刻画，该曲线定义为t，γ > 0和a≥2，曲线Γ是满足Γ: R x[0,1]→R的函数，满足H¨older的阶σ条件和bilipschitz条件。作者将Bailey[1]和Cho, Lee和Vargas[3]的复时Schr¨odinger型的结果推广到沿曲线的Schr¨odinger算子。

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ESTIMATES FOR SCHRÖDINGER MAXIMAL OPERATORSALONG CURVE WITH COMPLEX TIME

. In the present paper, we give some characterization of the L 2 maximal estimate for the operator P ta,γ f (cid:0) Γ( x,t ) (cid:1) along curve with complex time, which is deﬁned by where t,γ > 0 and a ≥ 2 , curve Γ is a function such that Γ : R × [0 , 1] → R , and satisﬁes H¨older’s condition of order σ and bilipschitz conditions. The authors extend the results of the Schr¨odinger type with complex time of Bailey [1] and Cho, Lee and Vargas [3] to Schr¨odinger operators along the curves.

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来源期刊

Journal of the Korean Mathematical Society 数学-数学

CiteScore

1.20

自引率

16.70%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal endeavors to publish significant research of broad interests in pure and applied mathematics. One volume is published each year, and each volume consists of six issues (January, March, May, July, September, November).