实Hp空间四讲

Thewholebookconsistsoffourchapters.ThebasictheoryofFefferman-SteinonrealHpspacesisbrieflyintroducedinChapter1.ThecontentsinChapter2involvetheatomicdecompositiontheoryandthemoleculardecompositiontheoryofrealHpspaces.Inaddition，thedualspacesofrealHpspaces，theinterpolationofoperatorsinHpspaces，andtheinterpolationofHpspacesarealsodiscussedinChapter2asaprerequisiteforChapters3and4.ThepropertiesofseveralbasicoperatorsinHpspaceswillbediscussedinChapter3indetail.Amongthem，somebasicresultsarecontributedbyChinesemathematicians，suchasthedecompositiontheoryofweakHpspacesanditsapplicationstothestudyonthesharpnessofsingularintegrals，anewmethodtodealwiththeellipticRieszmeansinHpspaces，andthetransferencetheoremofHpmultipliers，etc.ThelastchapterisdevotedtoapplicationsofrealHPspacestoapproximationtheory.ThematerialsinChapter4arefullycontributedbyChinesemathematicians.