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Dimension estimates for vectorial measures with restricted spectrum. / Stolyarov, Dmitriy.

In: Journal of Functional Analysis, Vol. 284, No. 1, 109735, 01.01.2023.

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

Harvard

Stolyarov, D 2023, 'Dimension estimates for vectorial measures with restricted spectrum', Journal of Functional Analysis, vol. 284, no. 1, 109735. https://doi.org/10.1016/j.jfa.2022.109735

APA

Stolyarov, D. (2023). Dimension estimates for vectorial measures with restricted spectrum. Journal of Functional Analysis, 284(1), [109735]. https://doi.org/10.1016/j.jfa.2022.109735

Vancouver

Stolyarov D. Dimension estimates for vectorial measures with restricted spectrum. Journal of Functional Analysis. 2023 Jan 1;284(1). 109735. https://doi.org/10.1016/j.jfa.2022.109735

Author

Stolyarov, Dmitriy. / Dimension estimates for vectorial measures with restricted spectrum. In: Journal of Functional Analysis. 2023 ; Vol. 284, No. 1.

BibTeX

@article{a51e4393b47d48448d2c6b0517aa081c,
title = "Dimension estimates for vectorial measures with restricted spectrum",
abstract = "We link the problem of estimating the lower Hausdorff dimension of PDE or Fourier constrained measures with Harnack's inequalities for the heat equation. The suggested approach provides new estimates in the case of Fourier constraints.",
keywords = "PDE constrained measures, Harnack inequalities, Dimension estimates",
author = "Dmitriy Stolyarov",
note = "Publisher Copyright: {\textcopyright} 2022 Elsevier Inc.",
year = "2023",
month = jan,
day = "1",
doi = "10.1016/j.jfa.2022.109735",
language = "English",
volume = "284",
journal = "Journal of Functional Analysis",
issn = "0022-1236",
publisher = "Elsevier",
number = "1",

}

RIS

TY - JOUR

T1 - Dimension estimates for vectorial measures with restricted spectrum

AU - Stolyarov, Dmitriy

N1 - Publisher Copyright: © 2022 Elsevier Inc.

PY - 2023/1/1

Y1 - 2023/1/1

N2 - We link the problem of estimating the lower Hausdorff dimension of PDE or Fourier constrained measures with Harnack's inequalities for the heat equation. The suggested approach provides new estimates in the case of Fourier constraints.

AB - We link the problem of estimating the lower Hausdorff dimension of PDE or Fourier constrained measures with Harnack's inequalities for the heat equation. The suggested approach provides new estimates in the case of Fourier constraints.

KW - PDE constrained measures

KW - Harnack inequalities

KW - Dimension estimates

UR - http://www.scopus.com/inward/record.url?scp=85140452474&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/eba9c753-8fcd-3e55-9e76-d17743bbb5de/

U2 - 10.1016/j.jfa.2022.109735

DO - 10.1016/j.jfa.2022.109735

M3 - Article

VL - 284

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

SN - 0022-1236

IS - 1

M1 - 109735

ER -

ID: 100937861