简介:让Sq-1,q≥2,联合起来的范围的表面在欧几里德几何学的spaceRq,f(x)∈Lp(Sq-1),f(x)≥0,f吗?0,1≤p≤+∞。然后,它在现在的纸被证明有顺序≤N和经常的C>的球形的泛音PN(x)0以便‖f-1/P_N‖L_p≤Cω(f,N~(-1))Lp,在哪儿ω(f,吗δ)Lp=sup_(0<T≤Δ)一of并且从='t'类型操作员
t(f,μ)='1/(|S~(q-2)|sin~(2λ)t)∫'连续性ofmoduli‖S_t(f)-f‖Lp>
简介:让M与部分弯曲歧管的n维的完全的noncompactRiemannian从在下面被围住,d瑥物浥湥?牡?牰癯摩摥椠?汣獯摥映牯獭
简介:InthispapertheDirichletproblemforp-Laplacian(p>1)isconsidered.UndersuitableconditionsandbyusingcriticalpointtheorytheexistenceofsolutionsfortheDirichletproblemisstudied,andsomeresultsintheliteratureareimproved.
简介:Thispapergivesap-adicanalogueoftheMackeytheory,whichrelatesrepresentationsofagroupoftypeG=H×_tAtosystemsofimprimitivity.
简介:Letfibeaboundedsmoothdomain.Inthispaper,theauthorsdefinetheBesovspacesBpa,pon,establishtheatomicdecompositionofthesespaces,andobtaintheregularityestimateoftheDirichletproblemandtheNeumannproblemfortheLaplaceoperatoronthesespaces.
简介:Inthispaper,wesolvethequadraticp-functionalinequalities‖f(x+y)+f(x-y)-2f(x)-2f(y)‖≤‖ρ(2f((x+y)/2)+2f((x-y)/2)-f(x)-f(y))‖,(0.1)whereρisafixedcomplexnumberwith|ρ|<1,and‖2f((x+y)/2)+2f((x-y)/2)-f(x)-f(y)‖≤‖ρ(f(x+y)+f(x-y)-2f(x)-2f(y))‖,(0.2)whereρisafixedcomplexnumberwith|ρ|<1/2.Usingthedirectmethod,weprovetheHyers-Ulamstabilityofthequadraticρ-functionalinequalities(0.1)and(0.2)incomplexBanachspacesandprovetheHyers-Ulamstabilityofquadraticρ-functionalequationsassociatedwiththequadraticρ-functionalinequalities(0.1)and(0.2)incomplexBanachspaces.
简介:Inthispaper,weobtainaresultthatimprovestheresultsofGovilandNwaeze,QaziandtheclassicalresultofRivlin.
简介:ThispapereonsidersanARIMA(p,d,q)medel.Amethodforestimatingtheorderdandtestingthehypothesis:d=d0isgiven.Theasymptoticpropertiesoftheestimatorhavebeendiscussed.