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On Maz'ya's Φ-Inequalities for Martingale Fractional Integration and Their Bellman Functions. / Столяров, Дмитрий Михайлович.

в: Michigan Mathematical Journal, Том 74, № 3, 01.07.2024, стр. 509-526.

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Harvard

Столяров, ДМ 2024, 'On Maz'ya's Φ-Inequalities for Martingale Fractional Integration and Their Bellman Functions', Michigan Mathematical Journal, Том. 74, № 3, стр. 509-526. https://doi.org/10.1307/mmj/20216116

APA

Столяров, Д. М. (2024). On Maz'ya's Φ-Inequalities for Martingale Fractional Integration and Their Bellman Functions. Michigan Mathematical Journal, 74(3), 509-526. https://doi.org/10.1307/mmj/20216116

Vancouver

Столяров ДМ. On Maz'ya's Φ-Inequalities for Martingale Fractional Integration and Their Bellman Functions. Michigan Mathematical Journal. 2024 Июль 1;74(3):509-526. https://doi.org/10.1307/mmj/20216116

Author

Столяров, Дмитрий Михайлович. / On Maz'ya's Φ-Inequalities for Martingale Fractional Integration and Their Bellman Functions. в: Michigan Mathematical Journal. 2024 ; Том 74, № 3. стр. 509-526.

BibTeX

@article{ddc3bb3ea0924016843378f8157bc267,
title = "On Maz'ya's Φ-Inequalities for Martingale Fractional Integration and Their Bellman Functions",
abstract = "Inspired by a conjecture of Vladimir Maz'ya on Φ- inequalities in the spirit of Bourgain and Brezis, we establish some Φ- inequalities for fractional martingale transforms. These inequalities may be thought of as martingale models of Φ-inequalities for differential operators. The proofs rest on new simple Bellman functions.",
author = "Столяров, {Дмитрий Михайлович}",
year = "2024",
month = jul,
day = "1",
doi = "10.1307/mmj/20216116",
language = "English",
volume = "74",
pages = "509--526",
journal = "Michigan Mathematical Journal",
issn = "0026-2285",
publisher = "University of Michigan",
number = "3",

}

RIS

TY - JOUR

T1 - On Maz'ya's Φ-Inequalities for Martingale Fractional Integration and Their Bellman Functions

AU - Столяров, Дмитрий Михайлович

PY - 2024/7/1

Y1 - 2024/7/1

N2 - Inspired by a conjecture of Vladimir Maz'ya on Φ- inequalities in the spirit of Bourgain and Brezis, we establish some Φ- inequalities for fractional martingale transforms. These inequalities may be thought of as martingale models of Φ-inequalities for differential operators. The proofs rest on new simple Bellman functions.

AB - Inspired by a conjecture of Vladimir Maz'ya on Φ- inequalities in the spirit of Bourgain and Brezis, we establish some Φ- inequalities for fractional martingale transforms. These inequalities may be thought of as martingale models of Φ-inequalities for differential operators. The proofs rest on new simple Bellman functions.

UR - https://www.mendeley.com/catalogue/b8382860-b94f-31dc-a5c3-6c886c408baf/

U2 - 10.1307/mmj/20216116

DO - 10.1307/mmj/20216116

M3 - Article

VL - 74

SP - 509

EP - 526

JO - Michigan Mathematical Journal

JF - Michigan Mathematical Journal

SN - 0026-2285

IS - 3

ER -

ID: 126519972