Operator-valued dyadic harmonic analysis beyond doubling measures

Autor:	Luis Daniel López-Sánchez, José M. Conde-Alonso
Rok vydání:	2016
Předmět:	Pure mathematics Applied Mathematics General Mathematics 010102 general mathematics Mathematics - Operator Algebras Mathematics::Classical Analysis and ODEs Haar Characterization (mathematics) 01 natural sciences Noncommutative geometry Functional Analysis (math.FA) Mathematics - Functional Analysis Harmonic analysis 010104 statistics & probability Operator (computer programming) Mathematics - Classical Analysis and ODEs Classical Analysis and ODEs (math.CA) FOS: Mathematics Decomposition (computer science) 42B20 42B25 42C40 46L51 46L52 0101 mathematics Operator Algebras (math.OA) Borel measure Mathematics
Zdroj:	Proceedings of the American Mathematical Society. 144:3869-3885
ISSN:	1088-6826 0002-9939
DOI:	10.1090/proc/13073
Popis:	We obtain a complete characterization of the weak-type ( 1 , 1 ) (1,1) for Haar shift operators in terms of generalized Haar systems adapted to a Borel measure μ \mu in the operator-valued setting. The main technical tool in our method is a noncommutative Calderón-Zygmund decomposition valid for arbitrary Borel measures.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9a86ae8e90806fc779654f057cc3baa1 https://doi.org/10.1090/proc/13073 Zobrazit plný text záznamu