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MAZ’YA’S ϕ-INEQUALITIES ON DOMAINS. / Столяров, Дмитрий Михайлович.

в: Journal of Mathematical Sciences, Том 295, № 4, 12.2025, стр. 458-472.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Столяров, ДМ 2025, 'MAZ’YA’S ϕ-INEQUALITIES ON DOMAINS', Journal of Mathematical Sciences, Том. 295, № 4, стр. 458-472. https://doi.org/10.1007/s10958-026-08192-x

APA

Столяров, Д. М. (2025). MAZ’YA’S ϕ-INEQUALITIES ON DOMAINS. Journal of Mathematical Sciences, 295(4), 458-472. https://doi.org/10.1007/s10958-026-08192-x

Vancouver

Столяров ДМ. MAZ’YA’S ϕ-INEQUALITIES ON DOMAINS. Journal of Mathematical Sciences. 2025 Дек.;295(4):458-472. https://doi.org/10.1007/s10958-026-08192-x

Author

Столяров, Дмитрий Михайлович. / MAZ’YA’S ϕ-INEQUALITIES ON DOMAINS. в: Journal of Mathematical Sciences. 2025 ; Том 295, № 4. стр. 458-472.

BibTeX

@article{8ef21a4864cf4f37beffcc2749c51bd8,
title = "MAZ{\textquoteright}YA{\textquoteright}S ϕ-INEQUALITIES ON DOMAINS",
abstract = "We find necessary and sufficient conditions on the function Φfor the inequality (Formula presented.) to be true. Here Kis a positively homogeneous of order α-d, possibly vector valued, kernel, Φis a p-homogeneous function, and p=d/(d-α). The domain Ω⊂Rdis either bounded with C1,βsmooth boundary for some β>0or a half-space in Rd. As a corollary, we describe the positively homogeneous of order d/(d-1)functions Φ:Rd→Rthat are suitable for the bound (Formula presented.) Bibliography:16 titles.",
author = "Столяров, {Дмитрий Михайлович}",
year = "2025",
month = dec,
doi = "10.1007/s10958-026-08192-x",
language = "English",
volume = "295",
pages = "458--472",
journal = "Journal of Mathematical Sciences (Switzerland)",
issn = "1072-3374",
publisher = "Springer Nature",
number = "4",

}

RIS

TY - JOUR

T1 - MAZ’YA’S ϕ-INEQUALITIES ON DOMAINS

AU - Столяров, Дмитрий Михайлович

PY - 2025/12

Y1 - 2025/12

N2 - We find necessary and sufficient conditions on the function Φfor the inequality (Formula presented.) to be true. Here Kis a positively homogeneous of order α-d, possibly vector valued, kernel, Φis a p-homogeneous function, and p=d/(d-α). The domain Ω⊂Rdis either bounded with C1,βsmooth boundary for some β>0or a half-space in Rd. As a corollary, we describe the positively homogeneous of order d/(d-1)functions Φ:Rd→Rthat are suitable for the bound (Formula presented.) Bibliography:16 titles.

AB - We find necessary and sufficient conditions on the function Φfor the inequality (Formula presented.) to be true. Here Kis a positively homogeneous of order α-d, possibly vector valued, kernel, Φis a p-homogeneous function, and p=d/(d-α). The domain Ω⊂Rdis either bounded with C1,βsmooth boundary for some β>0or a half-space in Rd. As a corollary, we describe the positively homogeneous of order d/(d-1)functions Φ:Rd→Rthat are suitable for the bound (Formula presented.) Bibliography:16 titles.

UR - https://www.mendeley.com/catalogue/3f7c8903-66f2-3c93-b77c-0fafb9e75d6a/

U2 - 10.1007/s10958-026-08192-x

DO - 10.1007/s10958-026-08192-x

M3 - Article

VL - 295

SP - 458

EP - 472

JO - Journal of Mathematical Sciences (Switzerland)

JF - Journal of Mathematical Sciences (Switzerland)

SN - 1072-3374

IS - 4

ER -

ID: 149220598