02988nam 2200589 450 991082762590332120180731044225.01-4704-1427-9(CKB)3780000000000336(EBL)3114115(SSID)ssj0001034808(PQKBManifestationID)11620435(PQKBTitleCode)TC0001034808(PQKBWorkID)11016667(PQKB)11349519(MiAaPQ)EBC3114115(RPAM)17874671(PPN)195408519(EXLCZ)99378000000000033620150417h20132013 uy 0engur|n|---|||||txtccrWeighted Bergman spaces induced by rapidly increasing weights /José Ángel Peláez, Jouni RättyäProvidence, Rhode Island :American Mathematical Society,2013.©20131 online resource (136 p.)Memoirs of the American Mathematical Society,1947-6221 ;Volume 227, Number 1066"Volume 227, Number 1066 (second of 4 numbers)."0-8218-8802-1 Includes bibliographical references and index.""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 Â¹( ^{â??})""""Chapter 6. Schatten Classes of the Integral Operator _{ } on Â²_{\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""Memoirs of the American Mathematical Society ;Volume 227, Number 1066.Bergman spacesFunctions of several complex variablesIntegral operatorsBergman spaces.Functions of several complex variables.Integral operators.515.98Peláez José Ángel1602042Rättyä Jouni1975-MiAaPQMiAaPQMiAaPQBOOK9910827625903321Weighted Bergman spaces induced by rapidly increasing weights3925860UNINA