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Record Nr. |
UNINA9910480503903321 |
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Titolo |
Hardy spaces associated to non-negative self-adjoint operators satisfying Davies-Gaffney estimates / / Steve Hofmann [and four others] |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 2011 |
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©2011 |
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ISBN |
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Descrizione fisica |
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1 online resource (78 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 214, Number 1007 |
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Disciplina |
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Soggetti |
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Hardy spaces |
Harmonic analysis |
Interpolation spaces |
Pseudodifferential operators |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"Volume 214, Number 1007 (third of 5 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""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 |
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Gaussian estimates""; ""7.1. Hardy spaces H1L,at, M(X), H1L, Sh(X) and H1L, SP(X) and Gaussian estimates"" |
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