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Combinatorial property of all positive measures in dimensions 2 and 3. / Mozolyako, Pavel; Psaromiligkos, Georgios; Volberg, Alexander; Kranich, Pavel Zorin.

In: Comptes Rendus Mathematique, Vol. 358, No. 6, 01.01.2020, p. 721-725.

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

Harvard

Mozolyako, P, Psaromiligkos, G, Volberg, A & Kranich, PZ 2020, 'Combinatorial property of all positive measures in dimensions 2 and 3', Comptes Rendus Mathematique, vol. 358, no. 6, pp. 721-725. https://doi.org/10.5802/CRMATH.90

APA

Mozolyako, P., Psaromiligkos, G., Volberg, A., & Kranich, P. Z. (2020). Combinatorial property of all positive measures in dimensions 2 and 3. Comptes Rendus Mathematique, 358(6), 721-725. https://doi.org/10.5802/CRMATH.90

Vancouver

Mozolyako P, Psaromiligkos G, Volberg A, Kranich PZ. Combinatorial property of all positive measures in dimensions 2 and 3. Comptes Rendus Mathematique. 2020 Jan 1;358(6):721-725. https://doi.org/10.5802/CRMATH.90

Author

Mozolyako, Pavel ; Psaromiligkos, Georgios ; Volberg, Alexander ; Kranich, Pavel Zorin. / Combinatorial property of all positive measures in dimensions 2 and 3. In: Comptes Rendus Mathematique. 2020 ; Vol. 358, No. 6. pp. 721-725.

BibTeX

@article{93979a8eb03d4dc792a2f936cb919ef1,
title = "Combinatorial property of all positive measures in dimensions 2 and 3",
abstract = "We prove multi-parameter dyadic embedding theorem for Hardy operator on the multi-tree. We also show that for a large class of Dirichlet spaces of holomorphic functions in bi-disc and tri-disc this proves the embedding theorem of those spaces on bi- and tri-disc. We completely describe the Carleson measures for such embeddings.",
author = "Pavel Mozolyako and Georgios Psaromiligkos and Alexander Volberg and Kranich, {Pavel Zorin}",
year = "2020",
month = jan,
day = "1",
doi = "10.5802/CRMATH.90",
language = "English",
volume = "358",
pages = "721--725",
journal = "Comptes Rendus Mathematique",
issn = "1631-073X",
publisher = "Elsevier",
number = "6",

}

RIS

TY - JOUR

T1 - Combinatorial property of all positive measures in dimensions 2 and 3

AU - Mozolyako, Pavel

AU - Psaromiligkos, Georgios

AU - Volberg, Alexander

AU - Kranich, Pavel Zorin

PY - 2020/1/1

Y1 - 2020/1/1

N2 - We prove multi-parameter dyadic embedding theorem for Hardy operator on the multi-tree. We also show that for a large class of Dirichlet spaces of holomorphic functions in bi-disc and tri-disc this proves the embedding theorem of those spaces on bi- and tri-disc. We completely describe the Carleson measures for such embeddings.

AB - We prove multi-parameter dyadic embedding theorem for Hardy operator on the multi-tree. We also show that for a large class of Dirichlet spaces of holomorphic functions in bi-disc and tri-disc this proves the embedding theorem of those spaces on bi- and tri-disc. We completely describe the Carleson measures for such embeddings.

UR - http://www.scopus.com/inward/record.url?scp=85093122237&partnerID=8YFLogxK

U2 - 10.5802/CRMATH.90

DO - 10.5802/CRMATH.90

M3 - Article

AN - SCOPUS:85093122237

VL - 358

SP - 721

EP - 725

JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

SN - 1631-073X

IS - 6

ER -

ID: 119109060