粗糙核奇異積分算子及振蕩積分算子的交換子的有界性問題.pdf

1、湖南大學(xué)碩士學(xué)位論文粗糙核奇異積分算子及振蕩積分算子的交換子的有界性問題姓名：曹前申請(qǐng)學(xué)位級(jí)別：碩士專業(yè)：應(yīng)用數(shù)學(xué)指導(dǎo)教師：馬柏林20070516粗糙核奇異積分算子及振蕩積分算子的交換子的有界性問題IIIAbstractInthispaperwestudytheboundednessofthecommutatsgeneratedbysingularintegraloperatswhosekernelareroughwithLipschi

2、tzfunctions.AlsowestudytheboundednessofthecommutatsgeneratedbyoscillatyintegraloperatswhosekernelareroughwithLipschitzfunction.Thispaperisganizedasfollows.InChapter1wesimplyintroducethedevelopmentinthestudyoftheboundedne

3、ssofsomesingularintegraloperatsoscillatyintegraloperatswithroughkerneltherelatedcommutats.InChapter2when))((1nnsSLnsα?∈??westudytheboundednessofthecommutatsgeneratedbysingularintegraloperatswithLipschitzfunctionfrom)(1nR

4、Ltoweak)(nnnRLα?from)(nqRLto)(npRLwherenpqα?=11(1p∞).InChapter3when()()1??∈?nnnSLogLLαwestudytheboundednessofcommutatsgeneratedbysingularintegraloperatswithLipschitzfunctionfrom)(npRLto)(2nRLwherenpα?=121(1p∞).InChapter4