LEADER 02988nam 2200589 450 001 9910827625903321 005 20180731044225.0 010 $a1-4704-1427-9 035 $a(CKB)3780000000000336 035 $a(EBL)3114115 035 $a(SSID)ssj0001034808 035 $a(PQKBManifestationID)11620435 035 $a(PQKBTitleCode)TC0001034808 035 $a(PQKBWorkID)11016667 035 $a(PQKB)11349519 035 $a(MiAaPQ)EBC3114115 035 $a(RPAM)17874671 035 $a(PPN)195408519 035 $a(EXLCZ)993780000000000336 100 $a20150417h20132013 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aWeighted Bergman spaces induced by rapidly increasing weights /$fJose? A?ngel Pela?ez, Jouni Ra?ttya? 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2013. 210 4$d©2013 215 $a1 online resource (136 p.) 225 1 $aMemoirs of the American Mathematical Society,$x1947-6221 ;$vVolume 227, Number 1066 300 $a"Volume 227, Number 1066 (second of 4 numbers)." 311 $a0-8218-8802-1 320 $aIncludes bibliographical references and index. 327 $a""3.2. Zeros of functions in ^{ }_{ }""""3.3. Zeros of functions in the Bergman-Nevanlinna class \mathit{ }_{ }""; ""Chapter 4. Integral Operators and Equivalent Norms""; ""4.1. Equivalent norms on ^{ }_{ }""; ""4.2. Integral operator _{ } on the weighted Bergman space ^{ }_{ }""; ""4.3. Integral operator _{ } on the Hardy space ^{ }""; ""Chapter 5. Non-conformally Invariant Space Induced by _{ } on ^{ }_{\om}""; ""5.1. Inclusion relations""; ""5.2. Structural properties of A?¹( ^{a???})"" 327 $a""Chapter 6. Schatten Classes of the Integral Operator _{ } on A?²_{\om}""""6.1. Preliminary results""; ""6.2. Proofs of the main results""; ""Chapter 7. Applications to Differential Equations""; ""7.1. Solutions in the weighted Bergman space ^{ }_{ }""; ""7.2. Solutions in the Bergman-Nevanlinna class \mathit{ }_{ }""; ""Chapter 8. Further Discussion""; ""8.1. Carleson measures""; ""8.2. Generalized area operators""; ""8.3. Growth and oscillation of solutions""; ""8.4. Zero distribution""; ""Bibliography""; ""Index"" 410 0$aMemoirs of the American Mathematical Society ;$vVolume 227, Number 1066. 606 $aBergman spaces 606 $aFunctions of several complex variables 606 $aIntegral operators 615 0$aBergman spaces. 615 0$aFunctions of several complex variables. 615 0$aIntegral operators. 676 $a515.98 700 $aPela?ez$b Jose? A?ngel$01602042 702 $aRa?ttya?$b Jouni$f1975- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910827625903321 996 $aWeighted Bergman spaces induced by rapidly increasing weights$93925860 997 $aUNINA