Lerner’s inequality associated to a critical radius function and applications

Autor:	Eleonor Ofelia Harboure, Adrian Cabral, Bruno Bongioanni
Rok vydání:	2013
Předmět:	Discrete mathematics Operator (computer programming) Semigroup Applied Mathematics Mathematical analysis Extrapolation Maximal operator Function (mathematics) Critical radius Type (model theory) Analysis Mathematics
Zdroj:	Journal of Mathematical Analysis and Applications. 407:35-55
ISSN:	0022-247X
Popis:	This work deals with weighted inequalities of the type ∫ R d | T f ( x ) | p w ( x ) d x ≤ C ∫ R d | S f ( x ) | p w ( x ) d x , where S is some maximal operator and T is an operator that comes from the harmonic analysis associated to a critical radius function. The weight w belongs to an appropriate family and 0 p ∞ . The proofs are based on an adapted Lerner’s inequality and some point-wise estimates. The results can be applied to obtain inequalities for several operators associated to the Schrodinger semigroup.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::5fea7188627479e5be68b73970e26801 https://doi.org/10.1016/j.jmaa.2013.04.084 Zobrazit plný text záznamu Full Text from ScienceDirect