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Approximation by M. Riesz Kernels in Lp for p<1. / Александров, Алексей Борисович.

In: Journal of Mathematical Sciences , Vol. 134, No. 4, 04.2006, p. 2239-2257.

Research output: Contribution to journal › Article › peer-review

Harvard

Александров, АБ 2006, 'Approximation by M. Riesz Kernels in Lp for p<1', Journal of Mathematical Sciences , vol. 134, no. 4, pp. 2239-2257. https://doi.org/10.1007/s10958-006-0098-6

APA

Александров, А. Б. (2006). Approximation by M. Riesz Kernels in Lp for p<1. Journal of Mathematical Sciences , 134(4), 2239-2257. https://doi.org/10.1007/s10958-006-0098-6

Vancouver

Александров АБ. Approximation by M. Riesz Kernels in Lp for p<1. Journal of Mathematical Sciences . 2006 Apr;134(4):2239-2257. https://doi.org/10.1007/s10958-006-0098-6

Author

Александров, Алексей Борисович. / Approximation by M. Riesz Kernels in Lp for p<1. In: Journal of Mathematical Sciences . 2006 ; Vol. 134, No. 4. pp. 2239-2257.

BibTeX

@article{95fa72480c2a4a6fa7c39a42a58e9c69,
title = "Approximation by M. Riesz Kernels in Lp for p<1",
abstract = "Let α > 0. We consider the linear span Xα(ℝ n) of scalar Riesz's kernels {1/|x-a|α} aεℝn and the linear span ηα(ℝ n of vector Riesz's kernels {1/|x-a|α+1(x-a)} aεℝn. We study the following problems. (1) When is the intersection Xα(ℝn) ∩ Lp(ℝ n) dense in Lp(ℝn)? (2) When is the intersection ηα(ℝn) ∩ L p(ℝn, ℝn) dense in L p(ℝn, ℝn)?",
author = "Александров, {Алексей Борисович}",
note = "Funding Information: The present paper was supported by the RFBR (project 02-01-00267), by the Program “Leading Scientific Schools” (project 2266.2003.1), and by the European Community{\textquoteright}s Human Potential Programme (project HPRN-CT-2000-00116) [Analysis and Operators].",
year = "2006",
month = apr,
doi = "10.1007/s10958-006-0098-6",
language = "English",
volume = "134",
pages = "2239--2257",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "4",

}

RIS

TY - JOUR

T1 - Approximation by M. Riesz Kernels in Lp for p<1

AU - Александров, Алексей Борисович

N1 - Funding Information: The present paper was supported by the RFBR (project 02-01-00267), by the Program “Leading Scientific Schools” (project 2266.2003.1), and by the European Community’s Human Potential Programme (project HPRN-CT-2000-00116) [Analysis and Operators].

PY - 2006/4

Y1 - 2006/4

N2 - Let α > 0. We consider the linear span Xα(ℝ n) of scalar Riesz's kernels {1/|x-a|α} aεℝn and the linear span ηα(ℝ n of vector Riesz's kernels {1/|x-a|α+1(x-a)} aεℝn. We study the following problems. (1) When is the intersection Xα(ℝn) ∩ Lp(ℝ n) dense in Lp(ℝn)? (2) When is the intersection ηα(ℝn) ∩ L p(ℝn, ℝn) dense in L p(ℝn, ℝn)?

AB - Let α > 0. We consider the linear span Xα(ℝ n) of scalar Riesz's kernels {1/|x-a|α} aεℝn and the linear span ηα(ℝ n of vector Riesz's kernels {1/|x-a|α+1(x-a)} aεℝn. We study the following problems. (1) When is the intersection Xα(ℝn) ∩ Lp(ℝ n) dense in Lp(ℝn)? (2) When is the intersection ηα(ℝn) ∩ L p(ℝn, ℝn) dense in L p(ℝn, ℝn)?

UR - http://www.scopus.com/inward/record.url?scp=33644679900&partnerID=8YFLogxK

U2 - 10.1007/s10958-006-0098-6

DO - 10.1007/s10958-006-0098-6

M3 - Article

AN - SCOPUS:33644679900

VL - 134

SP - 2239

EP - 2257

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 4

ER -

ID: 87311779