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On dimension stable spaces of measures. / Spector, D; Stolyarov, D.

в: Nonlinear Analysis, Theory, Methods and Applications, Том 264, 01.03.2026.

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

Harvard

Spector, D & Stolyarov, D 2026, 'On dimension stable spaces of measures', Nonlinear Analysis, Theory, Methods and Applications, Том. 264. https://doi.org/10.1016/j.na.2025.113997

APA

Spector, D., & Stolyarov, D. (2026). On dimension stable spaces of measures. Nonlinear Analysis, Theory, Methods and Applications, 264. https://doi.org/10.1016/j.na.2025.113997

Vancouver

Spector D, Stolyarov D. On dimension stable spaces of measures. Nonlinear Analysis, Theory, Methods and Applications. 2026 Март 1;264. https://doi.org/10.1016/j.na.2025.113997

Author

Spector, D ; Stolyarov, D. / On dimension stable spaces of measures. в: Nonlinear Analysis, Theory, Methods and Applications. 2026 ; Том 264.

BibTeX

@article{e5b8e175f89c4fdc8bef874f46db4593,
title = "On dimension stable spaces of measures",
abstract = "In this paper, we define spaces of measures DS beta([8d) with dimensional stability beta is an element of (0, d). These spaces bridge between Mb([8d), the space of finite Radon measures, and DSd([8d) = H1([8d), the real Hardy space. We show the spaces DS beta([8d) support Sobolev inequalities for beta is an element of (0, d], while for any beta is an element of [0, d] we show that the lower Hausdorff dimension of an element of DS beta([8d) is at least beta.",
keywords = "L-1 Sobolev inequalities, Hausdorff dimension, Riesz potentials, Fractional maximal functions, Hausdorff content, Atomic decomposition, SOBOLEV, INEQUALITY, DECOMPOSITION, EQUATIONS, L1 Sobolev inequalities",
author = "D Spector and D Stolyarov",
note = "Times Cited in Web of Science Core Collection: 1 Total Times Cited: 1 Cited Reference Count: 54",
year = "2026",
month = mar,
day = "1",
doi = "10.1016/j.na.2025.113997",
language = "English",
volume = "264",
journal = "Nonlinear Analysis, Theory, Methods and Applications",
issn = "0362-546X",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - On dimension stable spaces of measures

AU - Spector, D

AU - Stolyarov, D

N1 - Times Cited in Web of Science Core Collection: 1 Total Times Cited: 1 Cited Reference Count: 54

PY - 2026/3/1

Y1 - 2026/3/1

N2 - In this paper, we define spaces of measures DS beta([8d) with dimensional stability beta is an element of (0, d). These spaces bridge between Mb([8d), the space of finite Radon measures, and DSd([8d) = H1([8d), the real Hardy space. We show the spaces DS beta([8d) support Sobolev inequalities for beta is an element of (0, d], while for any beta is an element of [0, d] we show that the lower Hausdorff dimension of an element of DS beta([8d) is at least beta.

AB - In this paper, we define spaces of measures DS beta([8d) with dimensional stability beta is an element of (0, d). These spaces bridge between Mb([8d), the space of finite Radon measures, and DSd([8d) = H1([8d), the real Hardy space. We show the spaces DS beta([8d) support Sobolev inequalities for beta is an element of (0, d], while for any beta is an element of [0, d] we show that the lower Hausdorff dimension of an element of DS beta([8d) is at least beta.

KW - L-1 Sobolev inequalities

KW - Hausdorff dimension

KW - Riesz potentials

KW - Fractional maximal functions

KW - Hausdorff content

KW - Atomic decomposition

KW - SOBOLEV

KW - INEQUALITY

KW - DECOMPOSITION

KW - EQUATIONS

KW - L1 Sobolev inequalities

UR - https://www.mendeley.com/catalogue/d67b7d2d-c236-35d5-928a-c9c9c7e5c73f/

U2 - 10.1016/j.na.2025.113997

DO - 10.1016/j.na.2025.113997

M3 - Article

VL - 264

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

SN - 0362-546X

ER -

ID: 147944405