一個Monge-Ampère奇異積分算子的例子;An Example of the Monge-Ampère Singular Integral Operator

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/72323

Title:	一個Monge-Ampère奇異積分算子的例子;An Example of the Monge-Ampère Singular Integral Operator
Authors:	蘇奕穎;Su,Yee-Ying
Contributors:	數學系
Keywords:	奇異積分算子
Date:	2016-06-14
Issue Date:	2016-10-13 14:47:29 (UTC+8)
Publisher:	國立中央大學
Abstract:	我們討論的是在R上，用ϕ(x) = x2造出Sϕ(x, t) = B(x, √t)這個section，而B(x, √t)是一個以x為中心，以√t為半徑的開區間。最後我們用這個section 造出一個Monge-Ap`ere奇異積分算子。;Let ϕ(x) = x2 be a strictly convex and smooth function on R, we construct Sϕ(x, t) = B(x, √t), where B(x, √t) is a open interval with center x and radius √t. Then the section Sϕ satisﬁes the condition of section. we also construct an example of the Monge-Ap`ere singular integral operator.
Appears in Collections:	[Graduate Institute of Mathematics] Electronic Thesis & Dissertation

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