Hardy spaces associated to non-negative self-adjoint operators satisfying Davies-Gaffney estimates / / Steve Hofmann [and four others]

• Record Nr.: UNINA9910788867103321
• Pubbl/distr/stampa: Providence, Rhode Island : , : American Mathematical Society, , 2011; ©2011
• ISBN: 1-4704-0624-1
• Descrizione fisica: 1 online resource (78 p.)
• Collana: Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 214, Number 1007
• Disciplina: 515.9
• Soggetti: Hardy spaces; Harmonic analysis; Interpolation spaces; Pseudodifferential operators
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: "Volume 214, Number 1007 (third of 5 numbers)."
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: ""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""