Maximal singular integral operators acting on noncommutative $$L_p$$-spaces

Autor:	Guixiang Hong, Xudong Lai, Bang Xu
Rok vydání:	2022
Předmět:	Mathematics - Functional Analysis Mathematics::Functional Analysis Mathematics - Classical Analysis and ODEs General Mathematics Mathematics::Classical Analysis and ODEs Classical Analysis and ODEs (math.CA) FOS: Mathematics Functional Analysis (math.FA)
Zdroj:	Mathematische Annalen. 386:375-414
ISSN:	1432-1807 0025-5831
DOI:	10.1007/s00208-022-02401-z
Popis:	In this paper, we study the boundedness theory for maximal Calder\'on-Zygmund operators acting on noncommutative $L_p$-spaces. Our first result is a criterion for the weak type $(1,1)$ estimate of noncommutative maximal Calder\'on-Zygmund operators; as an application, we obtain the weak type $(1,1)$ estimates of operator-valued maximal singular integrals of convolution type under proper {regularity} conditions. These are the {\it first} noncommutative maximal inequalities for families of linear operators that can not be reduced to positive ones. For homogeneous singular integrals, the strong type $(p,p)$ ($1 Comment: 34 pages
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::679000c733d71956dc6c06f980ccab04 https://doi.org/10.1007/s00208-022-02401-z Zobrazit plný text záznamu Full text from SpringerLink