A note on inhomogeneous Besov space associated with sections

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/74940

Title:	A note on inhomogeneous Besov space associated with sections
Authors:	黃冠傑;Huang, Kuan-Chieh
Contributors:	數學系
Keywords:	Monge–Ampère 奇異積分算子;Besov space;Monge–Ampère singular integral operator
Date:	2017-07-07
Issue Date:	2017-10-27 16:12:34 (UTC+8)
Publisher:	國立中央大學
Abstract:	在這篇文章中，我們考慮在R上的函數Φ(x) = (x^2)/2，那麼可以得到擬度量ρ(x, y) = ((x-y)^2)/2 和 section。我們證明了如果R上的任意兩點x, y 滿足ρ(x, y)≧ 1 時就有\|D_0HD_0\|≦Cρ(x, y)^(-1)的話，則Monge–Ampère 奇異積分算子 H 在關於 section 的非齊次的 Besov 空間是有界的。;In this paper, we considerΦ(x) = (x^2)/2 on R. Then we haveρ(x, y) = ((x-y)^2)/2 and the section. We show that the Monge–Ampère singular integral operator H is bounded on be the inhomogeneous Besov space associated with these sections if \|D_0HD_0\|≦Cρ(x, y)^(-1) for any x, y in R, ρ(x, y)≧ 1.
Appears in Collections:	[Graduate Institute of Mathematics] Electronic Thesis & Dissertation

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