Generalized Morrey spaces associated to Schrödinger operators and applications

Nguyen Ngoc Trong; Le Xuan Truong

Czechoslovak Mathematical Journal (2018)

  • Volume: 68, Issue: 4, page 953-986
  • ISSN: 0011-4642

Abstract

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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.

How to cite

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Trong, Nguyen Ngoc, and Truong, Le Xuan. "Generalized Morrey spaces associated to Schrödinger operators and applications." Czechoslovak Mathematical Journal 68.4 (2018): 953-986. <http://eudml.org/doc/294682>.

@article{Trong2018,
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.},
author = {Trong, Nguyen Ngoc, Truong, Le Xuan},
journal = {Czechoslovak Mathematical Journal},
keywords = {Morrey space; Schrödinger operator; Riesz transform; fractional integral; Calderón-Zygmund estimate},
language = {eng},
number = {4},
pages = {953-986},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Generalized Morrey spaces associated to Schrödinger operators and applications},
url = {http://eudml.org/doc/294682},
volume = {68},
year = {2018},
}

TY - JOUR
AU - Trong, Nguyen Ngoc
AU - Truong, Le Xuan
TI - Generalized Morrey spaces associated to Schrödinger operators and applications
JO - Czechoslovak Mathematical Journal
PY - 2018
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 68
IS - 4
SP - 953
EP - 986
AB - 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.
LA - eng
KW - Morrey space; Schrödinger operator; Riesz transform; fractional integral; Calderón-Zygmund estimate
UR - http://eudml.org/doc/294682
ER -

References

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