雙曲Q-,k-空間.pdf

1、貴州師范大學(xué)碩士學(xué)位論文雙曲Q空間姓名：唐樹安申請學(xué)位級別：碩士專業(yè)：計算數(shù)學(xué)指導(dǎo)教師：伍鵬程20080530AbstractPWustudythecriterionofnomalandBlochfImctionswi乞hanondecre嬲洫gfunctioniIlthepaperDninc7∞毹7lg，hnc挽Dns，BZDc^，imc坑DnsnndnDn7l口l知nc托onsin1998，onthebasicofthisp印er，

2、PwuandHwul蚰f0咖“l(fā)y毗roducethede缸itionofQ^spacesintheirp印erCY『誼mcten拋挽D儺o，釩印口cesBynowQksp8c鋁alsDattr8ctsa10tofattentio璐ofm鋤ype叩leAtthes鯽∞t衄舊thereisalotof眥lsolvedproble瑚喝iIlthisfieldRAukIskari，PLappan，^，Ese色n，P、^，u，H、Ⅳulan，J

3、XiaDandRZh∞觚d80onhaⅣeobtainedanm】曲erofr髑u№on饑印auc銪InthispaperweintroduceanewfunctionspacebyiI】_troducehyp毀bolic∈Ieri僻tiVet0Q七spac銷Itplay鋤importantroleiIlcopiIlg誦thbounded鯽耐yticflmctionsWefirststatetllehii；toryoffmlctions

4、pace蛐dth融lgivesomedt蛆nitioIlsof1lyperb01icfunctbllsint11eilltroductioTlpartIntheIirstdl印乞erweinV皤tiga托solneb嬲icpropertyofhypelbolicQ女sp8c簀，itisillter簣tedthatwegetarelationshipb爭tweeIl11yperbolicQksp∽錙鋤dQkspac錙，we毛lsostud

5、ytIlerek此ionshipbetⅥ恍l(wèi)IhyperbolicQksp8Jces＆ndotherhyperbolictypespac岱BytheCorCesonmeasurewestudythehyperbolicQ^spauc簽iIlthesecondchap協(xié)Inthethirdchapter，westudythecompositionoperatorsmhyperboHcQ七spac豁，ourr髑ub咖dthereslllts

6、ofPWuandHWulanandobtaillaequiValelltre址ionshipbetwe匝compositionopera舾rsiIlI帥erbohcQ七spauc鉛andQIspaucesKeywordsHyperbok吼spauce、C口r把s伽m凹s11re，Hyperbolic口一男ZD如spauce，Hyperbolic歷ric，l把fspace、HyperbolicQpspace、QIspace、Q—B2D如s