On the multiple Fourier integrals of continuous functions from the Sobolev spaces
The partial integrals of the TV-fold Fourier integrals connected with elliptic polynomials (with a strictly convex level surface) are considered. It is proved that if a + s > (N — 1)/2 and ap = N, then the Riesz means of the nonnegative order s of the iV-fold Fourier integrals of continuous finit...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2011
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| Sorozat: | Acta scientiarum mathematicarum
77 No. 1-2 |
| Kulcsszavak: | Matematika, Szoboljev-tér, Fourier-sor, Fourier-integrál, Függvény |
| Tárgyszavak: | |
| Online Access: | http://acta.bibl.u-szeged.hu/16385 |
| LEADER | 01461nab a2200217 i 4500 | ||
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| 001 | acta16385 | ||
| 005 | 20260309083712.0 | ||
| 008 | 161015s2011 hu o 000 eng d | ||
| 022 | |a 0001-6969 | ||
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a eng | ||
| 100 | 1 | |a Ashurov Ravshan | |
| 245 | 1 | 3 | |a On the multiple Fourier integrals of continuous functions from the Sobolev spaces |h [elektronikus dokumentum] / |c Ashurov Ravshan |
| 260 | |a Bolyai Institute, University of Szeged |b Szeged |c 2011 | ||
| 300 | |a 209-222 | ||
| 490 | 0 | |a Acta scientiarum mathematicarum |v 77 No. 1-2 | |
| 520 | 3 | |a The partial integrals of the TV-fold Fourier integrals connected with elliptic polynomials (with a strictly convex level surface) are considered. It is proved that if a + s > (N — 1)/2 and ap = N, then the Riesz means of the nonnegative order s of the iV-fold Fourier integrals of continuous finite functions from the Sobolev spaces W£(RN ) converge uniformly on every compact set, and if a + s = (N — 1)/2, ap = N, then for any XQ £ RN there exists a continuous finite function from the Sobolev space Wp(RN ) such that the corresponding Riesz means of the TV-fold Fourier integrals diverge to infinity at X0. | |
| 650 | 4 | |a Természettudományok | |
| 650 | 4 | |a Matematika | |
| 695 | |a Matematika, Szoboljev-tér, Fourier-sor, Fourier-integrál, Függvény | ||
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/16385/1/math_077_numb_001_002_209-222.pdf |z Dokumentum-elérés |