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Bergman space metho...
Bergman space methods and integral means spectra of univalent functions
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- Sola, Alan, 1981- (author)
- KTH,Matematik (Inst.)
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- Hedenmalm, Håkan (thesis advisor)
- KTH,Matematik (Inst.)
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KTH Matematik (Inst) (creator_code:org_t)
- ISBN 9789171786302
- Stockholm : KTH, 2007
- English iv, 26 s.
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Series: TRITA-MAT. MA, 1401-2278 ; 0704
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Abstract
Subject headings
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- 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.
Subject headings
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Keyword
- Univalent functions
- integral means spectra
- Bergman spaces
- Algebra, geometry and mathematical analysis
- Algebra, geometri och analys
Publication and Content Type
- vet (subject category)
- lic (subject category)
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