Distributional boundary values of generalized Hardy functions in Beurling’s tempered distributions
Let B be a proper open subset in RN and C be an open convex cone in RN. We define a generalization of the spaces of Hardy functions,Gpω∗,A(TB),1≤p <∞,and extended tempered distributions,S′ω, of Beurling’s tempered distributions,S′(ω). We obtain the analytical and topological properties of S′ω and...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
2019
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| Sorozat: | Acta scientiarum mathematicarum
85 No. 3-4 |
| Kulcsszavak: | Általános Hardy függvények, Beurling eloszlások, határérték |
| doi: | 10.14232/actasm-018-088-3 |
| Online Access: | http://acta.bibl.u-szeged.hu/66335 |
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| 024 | 7 | |a 10.14232/actasm-018-088-3 |2 doi | |
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a zxx | ||
| 100 | 1 | |a Sohn Byung Keun | |
| 245 | 1 | 0 | |a Distributional boundary values of generalized Hardy functions in Beurling’s tempered distributions |h [elektronikus dokumentum] / |c Sohn Byung Keun |
| 260 | |c 2019 | ||
| 300 | |a 595-611 | ||
| 490 | 0 | |a Acta scientiarum mathematicarum |v 85 No. 3-4 | |
| 520 | 3 | |a Let B be a proper open subset in RN and C be an open convex cone in RN. We define a generalization of the spaces of Hardy functions,Gpω∗,A(TB),1≤p <∞,and extended tempered distributions,S′ω, of Beurling’s tempered distributions,S′(ω). We obtain the analytical and topological properties of S′ω and show that the functions in Gpω∗,A(TC),1< p≤2,have distributional boundary values in the weak topology of S′(ω)using the analytical propertiesof S′ω. | |
| 695 | |a Általános Hardy függvények, Beurling eloszlások, határérték | ||
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/66335/1/math_085_numb_003-004_595-611.pdf |z Dokumentum-elérés |