13806.沿曲線或曲面的振蕩積分在sobolev空間上的有界性

1、沿曲線或曲面的振蕩積分在Sobolev空間上的有界性BoundednessofCertainOscillatoryIntegralsAlongCurvesorSurfacesOnSobolevSpaces作者：趙俊燕指導(dǎo)教師：陳杰誠(chéng)、朱相榮專業(yè)：叁壁塾堂Major：FundamentalMathematics學(xué)位：壟堂塑Degree：叢箜圭里!Q￡璺竺i皇翌塑授予單位：浙江師范大學(xué)Institute：—Z———h———e———j——i—

2、—a——n————g—————N————o———r———m————a———l—U——niversity“—May2016AbstractThispaperisdesignedtostudytheboundednesspropertiesofcertainoscillatorysingularintegraloperatoralongcurvesorsurfacesfromSobolevspacestoLebesguespacesThef

3、irstchapterisintendedtointroducethebackgromadofoscillatorysingularintegraloperatoralongcurvesorsurfaces，thepresentsituationoftheresearchandourworkofthispaperInchaptertwo，westudytheoscillatoryhyperHilberttransformsmadprov

4、etheirboundednesspropertiesfromSobolevspacestoLebesguespacesInchapterthree，westudycertainoscillatorysingularintegraloperatoralongsnrfacesAsapplications，weobtainsomeSobolevboundednessresultsofroughsingularintegraloperator