Geodesic
Generalized Morrey spaces associated to Schrödinger operators and applications
Czechoslovak Mathematical Journal, Tome 68 (2018) no. 4, pp. 953-986 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
DOI : 10.21136/CMJ.2018.0039-17
Classification : 42B20, 42B35
Keywords: Morrey space; Schrödinger operator; Riesz transform; fractional integral; Calderón-Zygmund estimate 
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     author = {Trong, Nguyen Ngoc and Truong, Le Xuan},
     title = {Generalized {Morrey} spaces associated to {Schr\"odinger} operators and applications},
     journal = {Czechoslovak Mathematical Journal},
     pages = {953--986},
     year = {2018},
     volume = {68},
     number = {4},
     doi = {10.21136/CMJ.2018.0039-17},
     mrnumber = {3881889},
     zbl = {07031690},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2018.0039-17/}
}
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Trong, Nguyen Ngoc; Truong, Le Xuan. Generalized Morrey spaces associated to Schrödinger operators and applications. Czechoslovak Mathematical Journal, Tome 68 (2018) no. 4, pp. 953-986. doi: 10.21136/CMJ.2018.0039-17

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