简介:InthispaperweestablishsharpH¨olderestimatesofharmonicfunctionsonaclassofconnectedpostcriticallyfinite(p.c.f.)self-similarsets,andshowthatfunctionsinthedomainofLaplacianenjoythesameproperty.Somewell-knownexamples,suchastheSierpinskigasket,theunitinterval,thelevel3Sierpinskigasket,thehexagasket,the3-dimensionalSierpinskigasket,andtheVicseksetarealsoconsidered.
简介:InthispaperwestudytheapproximationonsetoffullmeasureforfunctionsinSobolevspacesL_m~1(R~n)(m∈N)byBochner-RieszmeansofconjugaleFourierintegralsbelowthecriticalindex.AtheoremconcerningthepreciseapproximationorderswithrelationtothenumbermofspaceL_m~1(R~n)andtheindexofBochner-Rieszmeansisobtained.