LEADER 03139nam 2200601 450 001 9910788867103321 005 20180731044628.0 010 $a1-4704-0624-1 035 $a(CKB)3360000000465191 035 $a(EBL)3114176 035 $a(SSID)ssj0000888970 035 $a(PQKBManifestationID)11932386 035 $a(PQKBTitleCode)TC0000888970 035 $a(PQKBWorkID)10867701 035 $a(PQKB)11126021 035 $a(MiAaPQ)EBC3114176 035 $a(RPAM)16927540 035 $a(PPN)195418964 035 $a(EXLCZ)993360000000465191 100 $a20150416h20112011 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 00$aHardy spaces associated to non-negative self-adjoint operators satisfying Davies-Gaffney estimates /$fSteve Hofmann [and four others] 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2011. 210 4$dİ2011 215 $a1 online resource (78 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vVolume 214, Number 1007 300 $a"Volume 214, Number 1007 (third of 5 numbers)." 311 $a0-8218-5238-8 320 $aIncludes bibliographical references. 327 $a""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"" 327 $a""Chapter 4. The decomposition into atoms""""4.1. Strategy of the proof of Theorem 4.1""; ""4.2. H1L,at, M(X) H1L, Sh(X) H2(X) for all M>n0/4""; ""4.3. The inclusion ( H1L, Sh(X) H2(X))H1L,at, M(X) for all M1""; ""4.4. Equivalence of H1L, SP(X) and H1L,at, M(X) when M>n0/4""; ""4.5. Inclusion among the spaces H1L,at, M(X), H1L, Nh(X) and H1L, NP(X)""; ""Chapter 5. Relations between atoms and molecules ""; ""Chapter 6. BMOL,M(X): Duality with Hardy spaces""; ""Chapter 7. Hardy spaces and Gaussian estimates""; ""7.1. Hardy spaces H1L,at, M(X), H1L, Sh(X) and H1L, SP(X) and Gaussian estimates"" 410 0$aMemoirs of the American Mathematical Society ;$vVolume 214, Number 1007. 606 $aHardy spaces 606 $aHarmonic analysis 606 $aInterpolation spaces 606 $aPseudodifferential operators 615 0$aHardy spaces. 615 0$aHarmonic analysis. 615 0$aInterpolation spaces. 615 0$aPseudodifferential operators. 676 $a515.9 702 $aHofmann$b Steve$f1958- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910788867103321 996 $aHardy spaces associated to non-negative self-adjoint operators satisfying Davies-Gaffney estimates$93864217 997 $aUNINA