dc.identifier.uri |
http://dx.doi.org/10.15488/3128 |
|
dc.identifier.uri |
http://www.repo.uni-hannover.de/handle/123456789/3158 |
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dc.contributor.author |
Bauer, Wolfram
|
|
dc.contributor.author |
Coburn, Lewis A.
|
|
dc.date.accessioned |
2018-04-18T13:04:38Z |
|
dc.date.available |
2018-04-18T13:04:38Z |
|
dc.date.issued |
2015 |
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dc.identifier.citation |
Bauer, W.; Coburn, L.A.: Heat flow, weighted Bergman spaces, and real analytic Lipschitz approximation. In: Journal fur die Reine und Angewandte Mathematik 2015 (2015), Nr. 703, S. 225-246. DOI: https://doi.org/10.1515/crelle-2015-0016 |
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dc.description.abstract |
We show that, for f any uniformly continuous (UC) complex-valued function on real Euclidean n-space ℝn, the heat flow f˜(t) is Lipschitz for all t > 0 and f˜(t) converges uniformly to f as t → 0. Analogously, let Ω be any irreducible bounded symmetric (Cartan) domain in complex n-space ℂn and consider the Bergman metric β(·,·) on Ω. For f any β-uniformly continuous function Ω, we show that there is a Berezin-Harish-Chandra flow of real analytic functions Bλf which is β-Lipschitz for each λ ≥ p (p, the genus of Ω) and Bλf converges uniformly to f as λ → ∞. For a certain subspace of UC we obtain stronger approximation results and we study the asymptotic behaviour of the Lipschitz constants. © 2015 by De Gruyter. |
eng |
dc.language.iso |
eng |
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dc.publisher |
Berlin : De Gruyter |
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dc.relation.ispartofseries |
Journal fur die Reine und Angewandte Mathematik 2015 (2015), Nr. 703 |
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dc.rights |
Es gilt deutsches Urheberrecht. Das Dokument darf zum eigenen Gebrauch kostenfrei genutzt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. Dieser Beitrag ist aufgrund einer (DFG-geförderten) Allianz- bzw. Nationallizenz frei zugänglich. |
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dc.subject |
Heat flow |
eng |
dc.subject |
Bergman spaces |
eng |
dc.subject |
Lipschitz constants |
eng |
dc.subject.ddc |
510 | Mathematik
|
ger |
dc.title |
Heat flow, weighted Bergman spaces, and real analytic Lipschitz approximation |
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dc.type |
Article |
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dc.type |
Text |
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dc.relation.issn |
0075-4102 |
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dc.relation.doi |
https://doi.org/10.1515/crelle-2015-0016 |
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dc.bibliographicCitation.issue |
703 |
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dc.bibliographicCitation.volume |
2015 |
|
dc.bibliographicCitation.firstPage |
225 |
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dc.bibliographicCitation.lastPage |
246 |
|
dc.description.version |
publishedVersion |
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tib.accessRights |
frei zug�nglich |
|