03139nam 2200601 450 991078886710332120180731044628.01-4704-0624-1(CKB)3360000000465191(EBL)3114176(SSID)ssj0000888970(PQKBManifestationID)11932386(PQKBTitleCode)TC0000888970(PQKBWorkID)10867701(PQKB)11126021(MiAaPQ)EBC3114176(RPAM)16927540(PPN)195418964(EXLCZ)99336000000046519120150416h20112011 uy 0engur|n|---|||||txtccrHardy spaces associated to non-negative self-adjoint operators satisfying Davies-Gaffney estimates /Steve Hofmann [and four others]Providence, Rhode Island :American Mathematical Society,2011.©20111 online resource (78 p.)Memoirs of the American Mathematical Society,0065-9266 ;Volume 214, Number 1007"Volume 214, Number 1007 (third of 5 numbers)."0-8218-5238-8 Includes bibliographical references.""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Notation and preliminaries""; ""2.1. Spaces of homogeneous type""; ""2.2. Assumptions""; ""2.3. The classical Hardy space H1(Rn)""; ""2.4. Hardy spaces via atoms""; ""2.5. Hardy spaces via molecules""; ""2.6. Hardy spaces via square and maximal functions""; ""2.7. BMO spaces associated to operators""; ""2.8. Historical notes""; ""Chapter 3. Davies-Gaffney estimates""; ""3.1. Self-improving properties of Davies-Gaffney estimates""; ""3.2. Finite speed propagation for the wave equation and Davies-Gaffney estimates""""Chapter 4. The decomposition into atoms""""4.1. Strategy of the proof of Theorem 4.1""; ""4.2. H1L,at, M(X) H1L, Sh(X) H2(X) for all M>n0/4""; ""4.3. The inclusion ( H1L, Sh(X) H2(X))H1L,at, M(X) for all M1""; ""4.4. Equivalence of H1L, SP(X) and H1L,at, M(X) when M>n0/4""; ""4.5. Inclusion among the spaces H1L,at, M(X), H1L, Nh(X) and H1L, NP(X)""; ""Chapter 5. Relations between atoms and molecules ""; ""Chapter 6. BMOL,M(X): Duality with Hardy spaces""; ""Chapter 7. Hardy spaces and Gaussian estimates""; ""7.1. Hardy spaces H1L,at, M(X), H1L, Sh(X) and H1L, SP(X) and Gaussian estimates""Memoirs of the American Mathematical Society ;Volume 214, Number 1007.Hardy spacesHarmonic analysisInterpolation spacesPseudodifferential operatorsHardy spaces.Harmonic analysis.Interpolation spaces.Pseudodifferential operators.515.9Hofmann Steve1958-MiAaPQMiAaPQMiAaPQBOOK9910788867103321Hardy spaces associated to non-negative self-adjoint operators satisfying Davies-Gaffney estimates3864217UNINA