Standard

An analog of the weyl decomposition of the space Lq(ω, ℝn) for a first-order differential operatorfor a first-order differential operator. / Osmolovskii, V. G.

In: Journal of Mathematical Sciences , Vol. 73, No. 6, 01.03.1995, p. 701-710.

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

Harvard

Osmolovskii, VG 1995, 'An analog of the weyl decomposition of the space Lq(ω, ℝn) for a first-order differential operatorfor a first-order differential operator', Journal of Mathematical Sciences , vol. 73, no. 6, pp. 701-710. https://doi.org/10.1007/BF02364946

APA

Osmolovskii, V. G. (1995). An analog of the weyl decomposition of the space Lq(ω, ℝn) for a first-order differential operatorfor a first-order differential operator. Journal of Mathematical Sciences , 73(6), 701-710. https://doi.org/10.1007/BF02364946

Vancouver

Osmolovskii VG. An analog of the weyl decomposition of the space Lq(ω, ℝn) for a first-order differential operatorfor a first-order differential operator. Journal of Mathematical Sciences . 1995 Mar 1;73(6):701-710. https://doi.org/10.1007/BF02364946

Author

Osmolovskii, V. G. / An analog of the weyl decomposition of the space Lq(ω, ℝn) for a first-order differential operatorfor a first-order differential operator. In: Journal of Mathematical Sciences . 1995 ; Vol. 73, No. 6. pp. 701-710.

BibTeX

@article{b69e431840324e46974f144518085ed1,
title = "An analog of the weyl decomposition of the space Lq(ω, ℝn) for a first-order differential operatorfor a first-order differential operator",
abstract = "We prove the following theorem: Suppose the function f(x) belongs to Lq(ω, ℝn), ω ⊂ ℝm, q∈(1, ∞), and satisfies the inequality {Mathematical expression} for all n-dimensional vector-valued functions in the kernel of a scalar-valued first-order differential operator £ for which the second-order operator LL* is elliptic. Then there exists a function p(x)∈Wq1(ω) such that {Mathematical expression} Bibliography: 6 titles.",
author = "Osmolovskii, {V. G.}",
year = "1995",
month = mar,
day = "1",
doi = "10.1007/BF02364946",
language = "English",
volume = "73",
pages = "701--710",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "6",

}

RIS

TY - JOUR

T1 - An analog of the weyl decomposition of the space Lq(ω, ℝn) for a first-order differential operatorfor a first-order differential operator

AU - Osmolovskii, V. G.

PY - 1995/3/1

Y1 - 1995/3/1

N2 - We prove the following theorem: Suppose the function f(x) belongs to Lq(ω, ℝn), ω ⊂ ℝm, q∈(1, ∞), and satisfies the inequality {Mathematical expression} for all n-dimensional vector-valued functions in the kernel of a scalar-valued first-order differential operator £ for which the second-order operator LL* is elliptic. Then there exists a function p(x)∈Wq1(ω) such that {Mathematical expression} Bibliography: 6 titles.

AB - We prove the following theorem: Suppose the function f(x) belongs to Lq(ω, ℝn), ω ⊂ ℝm, q∈(1, ∞), and satisfies the inequality {Mathematical expression} for all n-dimensional vector-valued functions in the kernel of a scalar-valued first-order differential operator £ for which the second-order operator LL* is elliptic. Then there exists a function p(x)∈Wq1(ω) such that {Mathematical expression} Bibliography: 6 titles.

UR - http://www.scopus.com/inward/record.url?scp=34249760190&partnerID=8YFLogxK

U2 - 10.1007/BF02364946

DO - 10.1007/BF02364946

M3 - Article

AN - SCOPUS:34249760190

VL - 73

SP - 701

EP - 710

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 6

ER -

ID: 42743230