Bergman space methods and integral means spectra of univalent functions

Bergman space methods and integral means spectra of univalent functions

We study universal integral means spectra of certain classes of univalent functions defined on subsets of the complex plane. After reformulating the definition of the integral means spectrum of a univalent function in terms of membership in weighted Bergman spaces, we describe the Hilbert space tech...

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Bibliographic Details
Main Author: Sola, Alan
Format: Others
Language:English
Published: KTH, Matematik (Inst.) 2007
Subjects:
Univalent functions
integral means spectra
Bergman spaces
Mathematics
Matematik
Online Access:http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-4354
http://nbn-resolving.de/urn:isbn:978-91-7178-630-2
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spelling ndltd-UPSALLA1-oai-DiVA.org-kth-43542020-01-03T03:42:30ZBergman space methods and integral means spectra of univalent functionsengSola, AlanKTH, Matematik (Inst.)Stockholm : KTH2007Univalent functionsintegral means spectraBergman spacesMathematicsMatematikWe study universal integral means spectra of certain classes of univalent functions defined on subsets of the complex plane. After reformulating the definition of the integral means spectrum of a univalent function in terms of membership in weighted Bergman spaces, we describe the Hilbert space techniques that can be used to estimate universal means spectra from above. Finally, we show that the method of norm expansion used in that context can be applied in a more general setting to reproducing kernel spaces in order to explicitly compute kernel functions. <p>QC 20101117</p>Licentiate thesis, comprehensive summaryinfo:eu-repo/semantics/masterThesistexthttp://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-4354urn:isbn:978-91-7178-630-2TRITA-MAT. MA, 1401-2278 ; 0704application/pdfinfo:eu-repo/semantics/openAccess
collection NDLTD
language English
format Others
sources NDLTD
topic Univalent functions
integral means spectra
Bergman spaces
Mathematics
Matematik
spellingShingle Univalent functions
integral means spectra
Bergman spaces
Mathematics
Matematik
Sola, Alan
Bergman space methods and integral means spectra of univalent functions
description We study universal integral means spectra of certain classes of univalent functions defined on subsets of the complex plane. After reformulating the definition of the integral means spectrum of a univalent function in terms of membership in weighted Bergman spaces, we describe the Hilbert space techniques that can be used to estimate universal means spectra from above. Finally, we show that the method of norm expansion used in that context can be applied in a more general setting to reproducing kernel spaces in order to explicitly compute kernel functions. === <p>QC 20101117</p>
author Sola, Alan
author_facet Sola, Alan
author_sort Sola, Alan
title Bergman space methods and integral means spectra of univalent functions
title_short Bergman space methods and integral means spectra of univalent functions
title_full Bergman space methods and integral means spectra of univalent functions
title_fullStr Bergman space methods and integral means spectra of univalent functions
title_full_unstemmed Bergman space methods and integral means spectra of univalent functions
title_sort bergman space methods and integral means spectra of univalent functions
publisher KTH, Matematik (Inst.)
publishDate 2007
url http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-4354
http://nbn-resolving.de/urn:isbn:978-91-7178-630-2
work_keys_str_mv AT solaalan bergmanspacemethodsandintegralmeansspectraofunivalentfunctions
_version_ 1719306295790534656

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