Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
Combinatorial property of all positive measures in dimensions 2 and 3. / Mozolyako, Pavel; Psaromiligkos, Georgios; Volberg, Alexander; Kranich, Pavel Zorin.
в: Comptes Rendus Mathematique, Том 358, № 6, 01.01.2020, стр. 721-725.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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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