简介:ThepaperdefinesanextendedCesàrooperatorTgwithholomorphicsymbolgintheunitballBofCnasWhereg(z)=∑j=1∑nzjg/zjistheradialderivativeofg.Inthispaper,theauthorcharacterizesgforwhichTgisbounded(orcompact)ontheBlochspaceBandthelittleBlochspaceB0.
简介:<正>LetXbeaconnectedfiniteCWcomplexanddx:KO(C(X))→Zbethedimensionfunction.Weshowthat,ifAisaunitalseparablesimplenuclearC*-algebraofTR(A)=0withtheuniquetracialstateandsatisfyingtheUCTsuchthatKO(A)=QkerdxandK1(A)=K1(C(X)).thenAisisomorphictoaninductivelimitofMn!(C(X)).
简介:ForananalyticfunctionfonthehyperbolicdomainΩinC,thefollowingconclusionsareobtained:(i)f∈B(Ω)=BMOA(Ω,m)ifandonlyifRef∈B(?)(Ω)=BMOH(Ω,m).(ii)QB_h(Ω)=B_h(Ω)(BMOH,(Ω,m)=BMOH(Ω,m)ifandonlyifC(Ω)=inf{Z_o(z)·δ_o(z)·z≡Ω}>0,Alsosomeapplica-lionstoautomorphicfunctionareconsidered.
简介:AnefficientmethodforC2nearlyarc-lengthparameterizedcurveispresented.Anideaofapproximationforthearc-lengthfunctionofparametriccurvewhichinterpolatesCADdatapointsisdiscussed.Theparameterizationisimplementedbyusingparametertransformation.Finally,twonumericalexamplesaregiven.
简介:SupposethatDisaboundeddomainwithapiecewiseC^1smoothboundaryinC^n.Letψ∈C^1+α(δD).ByusingtheHadamardprincipalvalueofthehigherordersingularintegralandsolidanglecoefficientmethodofpointsontheboundary,wegivethePlemeljformulaofthehigherordersingularintegralwiththeBoehner-Martinellikernel,whichhasintegraldensityψ.Moreover,bymeansofthePlemeljformulaandmethodsofcomplexpartialdifferentialequations,wediscussthecorrespondingCauehyboundaryvalueproblemwiththeBoehner-Martinellikernelonaclosedpiecewisesmoothmanifoldandobtainitsuniquebranchcomplexharmonicsolution.