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Spaces of smooth functions generated by nonhomogeneous differential expressions. / Kislyakov, S. V.; Maksimov, D. V.; Stolyarov, D. M.

In: Functional Analysis and its Applications, Vol. 47, No. 2, 01.04.2013, p. 157-159.

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

Harvard

Kislyakov, SV, Maksimov, DV & Stolyarov, DM 2013, 'Spaces of smooth functions generated by nonhomogeneous differential expressions', Functional Analysis and its Applications, vol. 47, no. 2, pp. 157-159. https://doi.org/10.1007/s10688-013-0021-0

APA

Kislyakov, S. V., Maksimov, D. V., & Stolyarov, D. M. (2013). Spaces of smooth functions generated by nonhomogeneous differential expressions. Functional Analysis and its Applications, 47(2), 157-159. https://doi.org/10.1007/s10688-013-0021-0

Vancouver

Kislyakov SV, Maksimov DV, Stolyarov DM. Spaces of smooth functions generated by nonhomogeneous differential expressions. Functional Analysis and its Applications. 2013 Apr 1;47(2):157-159. https://doi.org/10.1007/s10688-013-0021-0

Author

Kislyakov, S. V. ; Maksimov, D. V. ; Stolyarov, D. M. / Spaces of smooth functions generated by nonhomogeneous differential expressions. In: Functional Analysis and its Applications. 2013 ; Vol. 47, No. 2. pp. 157-159.

BibTeX

@article{ee943d071b1c47a2a3c568764931c882,
title = "Spaces of smooth functions generated by nonhomogeneous differential expressions",
abstract = "A Sobolev-type embedding theorem is established, which differs from classical statements in that the assumptions are imposed on linear combinations of the form ΣajDαj fj with different functions fj and different multi-indices αj. It is applied to a classification problem for spaces of smooth functions generated by finite collections of differential expressions.",
keywords = "isomorphism, Sobolev embedding, space of smooth functions",
author = "Kislyakov, {S. V.} and Maksimov, {D. V.} and Stolyarov, {D. M.}",
year = "2013",
month = apr,
day = "1",
doi = "10.1007/s10688-013-0021-0",
language = "English",
volume = "47",
pages = "157--159",
journal = "Functional Analysis and its Applications",
issn = "0016-2663",
publisher = "Springer Nature",
number = "2",

}

RIS

TY - JOUR

T1 - Spaces of smooth functions generated by nonhomogeneous differential expressions

AU - Kislyakov, S. V.

AU - Maksimov, D. V.

AU - Stolyarov, D. M.

PY - 2013/4/1

Y1 - 2013/4/1

N2 - A Sobolev-type embedding theorem is established, which differs from classical statements in that the assumptions are imposed on linear combinations of the form ΣajDαj fj with different functions fj and different multi-indices αj. It is applied to a classification problem for spaces of smooth functions generated by finite collections of differential expressions.

AB - A Sobolev-type embedding theorem is established, which differs from classical statements in that the assumptions are imposed on linear combinations of the form ΣajDαj fj with different functions fj and different multi-indices αj. It is applied to a classification problem for spaces of smooth functions generated by finite collections of differential expressions.

KW - isomorphism

KW - Sobolev embedding

KW - space of smooth functions

UR - http://www.scopus.com/inward/record.url?scp=84879824777&partnerID=8YFLogxK

U2 - 10.1007/s10688-013-0021-0

DO - 10.1007/s10688-013-0021-0

M3 - Article

AN - SCOPUS:84879824777

VL - 47

SP - 157

EP - 159

JO - Functional Analysis and its Applications

JF - Functional Analysis and its Applications

SN - 0016-2663

IS - 2

ER -

ID: 35959294