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An atomic decomposition for functions of bounded variation. / Spector, D; Stockdale, CB; Stolyarov, D.

в: Communications in Contemporary Mathematics, 2025.

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

Harvard

Spector, D, Stockdale, CB & Stolyarov, D 2025, 'An atomic decomposition for functions of bounded variation', Communications in Contemporary Mathematics. https://doi.org/10.1142/S0219199725400024

APA

Spector, D., Stockdale, CB., & Stolyarov, D. (2025). An atomic decomposition for functions of bounded variation. Communications in Contemporary Mathematics. https://doi.org/10.1142/S0219199725400024

Vancouver

Spector D, Stockdale CB, Stolyarov D. An atomic decomposition for functions of bounded variation. Communications in Contemporary Mathematics. 2025. https://doi.org/10.1142/S0219199725400024

Author

Spector, D ; Stockdale, CB ; Stolyarov, D. / An atomic decomposition for functions of bounded variation. в: Communications in Contemporary Mathematics. 2025.

BibTeX

@article{92dfc32582724ad6b6323fcc1e2f351b,
title = "An atomic decomposition for functions of bounded variation",
abstract = "In this paper, we give a decomposition of the gradient measure Du of an arbitrary function of bounded variation u into a linear combination of atoms mu = D-chi F, where F is a set of finite perimeter. The atoms further satisfy the support, cancellation, normalization, and size conditions: For each mu, there exists a cube Q such that supp mu subset of Q, mu(Q) = 0, |mu|(Q) 0|t(1/2)p(t) & lowast; mu(x)|",
keywords = "Bounded variation, atomic decomposition, dimension estimates, Sobolev inequalities",
author = "D Spector and CB Stockdale and D Stolyarov",
note = "Times Cited in Web of Science Core Collection: 0 Total Times Cited: 0 Cited Reference Count: 0",
year = "2025",
doi = "10.1142/S0219199725400024",
language = "Английский",
journal = "Communications in Contemporary Mathematics",
issn = "0219-1997",
publisher = "WORLD SCIENTIFIC PUBL CO PTE LTD",

}

RIS

TY - JOUR

T1 - An atomic decomposition for functions of bounded variation

AU - Spector, D

AU - Stockdale, CB

AU - Stolyarov, D

N1 - Times Cited in Web of Science Core Collection: 0 Total Times Cited: 0 Cited Reference Count: 0

PY - 2025

Y1 - 2025

N2 - In this paper, we give a decomposition of the gradient measure Du of an arbitrary function of bounded variation u into a linear combination of atoms mu = D-chi F, where F is a set of finite perimeter. The atoms further satisfy the support, cancellation, normalization, and size conditions: For each mu, there exists a cube Q such that supp mu subset of Q, mu(Q) = 0, |mu|(Q) 0|t(1/2)p(t) & lowast; mu(x)|

AB - In this paper, we give a decomposition of the gradient measure Du of an arbitrary function of bounded variation u into a linear combination of atoms mu = D-chi F, where F is a set of finite perimeter. The atoms further satisfy the support, cancellation, normalization, and size conditions: For each mu, there exists a cube Q such that supp mu subset of Q, mu(Q) = 0, |mu|(Q) 0|t(1/2)p(t) & lowast; mu(x)|

KW - Bounded variation

KW - atomic decomposition

KW - dimension estimates

KW - Sobolev inequalities

U2 - 10.1142/S0219199725400024

DO - 10.1142/S0219199725400024

M3 - статья

JO - Communications in Contemporary Mathematics

JF - Communications in Contemporary Mathematics

SN - 0219-1997

ER -

ID: 147936448