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Sobolev martingales. / Ayoush, Rami; Stolyarov, Dmitriy; Wojciechowski, Michal.

In: Revista Matematica Iberoamericana, Vol. 37, No. 4, 2021, p. 1225-1246.

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

Harvard

Ayoush, R, Stolyarov, D & Wojciechowski, M 2021, 'Sobolev martingales', Revista Matematica Iberoamericana, vol. 37, no. 4, pp. 1225-1246. https://doi.org/10.4171/rmi/1224

APA

Ayoush, R., Stolyarov, D., & Wojciechowski, M. (2021). Sobolev martingales. Revista Matematica Iberoamericana, 37(4), 1225-1246. https://doi.org/10.4171/rmi/1224

Vancouver

Ayoush R, Stolyarov D, Wojciechowski M. Sobolev martingales. Revista Matematica Iberoamericana. 2021;37(4):1225-1246. https://doi.org/10.4171/rmi/1224

Author

Ayoush, Rami ; Stolyarov, Dmitriy ; Wojciechowski, Michal. / Sobolev martingales. In: Revista Matematica Iberoamericana. 2021 ; Vol. 37, No. 4. pp. 1225-1246.

BibTeX

@article{0280a476451c438fb306e3070af7675e,

title = "Sobolev martingales",

abstract = "We introduce new spaces of martingales that behave like L1-based Sobolev spaces on Rd. We prove a martingale analog of Van Schaftingen{\textquoteright}s theorem and give sharp estimates on the lower Hausdorff dimension of the terminal distributions of these martingales. We also provide martingale analogs of trace theorems for Sobolev functions.",

keywords = "Hausdorff dimension of measures, Martingale inequalities, Sobolev embedding, Trace theorem, martingale inequalities, INEQUALITIES, SPACES, EQUATIONS, DIV-CURL, VECTOR-FIELDS, trace theorem, H-1",

author = "Rami Ayoush and Dmitriy Stolyarov and Michal Wojciechowski",

note = "Publisher Copyright: {\textcopyright} 2020 Real Sociedad Matem{\'a}tica Espa{\~n}ola Published by EMS Press",

year = "2021",

doi = "10.4171/rmi/1224",

language = "English",

volume = "37",

pages = "1225--1246",

journal = "Revista Matematica Iberoamericana",

issn = "0213-2230",

publisher = "Universidad Autonoma de Madrid",

number = "4",

}

RIS

TY - JOUR

T1 - Sobolev martingales

AU - Ayoush, Rami

AU - Stolyarov, Dmitriy

AU - Wojciechowski, Michal

PY - 2021

Y1 - 2021

N2 - We introduce new spaces of martingales that behave like L1-based Sobolev spaces on Rd. We prove a martingale analog of Van Schaftingen’s theorem and give sharp estimates on the lower Hausdorff dimension of the terminal distributions of these martingales. We also provide martingale analogs of trace theorems for Sobolev functions.

AB - We introduce new spaces of martingales that behave like L1-based Sobolev spaces on Rd. We prove a martingale analog of Van Schaftingen’s theorem and give sharp estimates on the lower Hausdorff dimension of the terminal distributions of these martingales. We also provide martingale analogs of trace theorems for Sobolev functions.

KW - Hausdorff dimension of measures

KW - Martingale inequalities

KW - Sobolev embedding

KW - Trace theorem

KW - martingale inequalities

KW - INEQUALITIES

KW - SPACES

KW - EQUATIONS

KW - DIV-CURL

KW - VECTOR-FIELDS

KW - trace theorem

KW - H-1

UR - http://www.scopus.com/inward/record.url?scp=85107601330&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/23364334-32bd-3f84-99be-1d6e35c6e620/

U2 - 10.4171/rmi/1224

DO - 10.4171/rmi/1224

M3 - Article

AN - SCOPUS:85107601330

VL - 37

SP - 1225

EP - 1246

JO - Revista Matematica Iberoamericana

JF - Revista Matematica Iberoamericana

SN - 0213-2230

IS - 4

ER -

ID: 88986311