Generalized Morrey spaces associated to Schrödinger operators and applications.

Autor:	Trong, Nguyen Ngoc
Další autoři:	Truong, Le Xuan
Jazyk:	angličtina
Předmět:	Schrödingerova rovnice Schrödinger equation články journal articles Morrey space Schrödinger operator Riesz transform fractional integral Calderón-Zygmund estimate
Druh dokumentu:	Non-fiction
ISSN:	0011-4642
Abstrakt:	Abstract: We first introduce new weighted Morrey spaces related to certain non-negative potentials satisfying the reverse Hölder inequality. Then we establish the weighted strong-type and weak-type estimates for the Riesz transforms and fractional integrals associated to Schrödinger operators. As an application, we prove the Calderón-Zygmund estimates for solutions to Schrödinger equation on these new spaces. Our results cover a number of known results.
Databáze:	Katalog Knihovny AV ČR
Externí odkaz:	Full text from SpringerLink