Weighted norm inequalities for Schrödinger operators on variable Lebesgue spaces

In this work we show that many operators from harmonic analysis associated with the semigroup generated by the Schr ̈odinger operator L = −Δ +V in n , where n > 2 and the non–negative potential V belongs to the reverse H ̈older class RHq with q > n/2 – such as max- imal operators, th...

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Autor principal: Cabral, Enrique Adrián
Formato: Artículo
Lenguaje:Inglés
Publicado: Element Publishing house 2026
Materias:
Norm inequalities
Schrödinger operator
Variable Lebesgue spaces
Extrapolation
Weights
Acceso en línea:http://repositorio.unne.edu.ar/handle/123456789/60056
Aporte de:
RIUNNE - Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE) de Universidad Nacional del Nordeste
id I48-R184-123456789-60056
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spelling I48-R184-123456789-600562026-02-13T13:08:54Z Weighted norm inequalities for Schrödinger operators on variable Lebesgue spaces Cabral, Enrique Adrián Norm inequalities Schrödinger operator Variable Lebesgue spaces Extrapolation Weights In this work we show that many operators from harmonic analysis associated with the semigroup generated by the Schr ̈odinger operator L = −Δ +V in n , where n > 2 and the non–negative potential V belongs to the reverse H ̈older class RHq with q > n/2 – such as max- imal operators, the Littlewood–Paley function, pseudo–differential operators, singular integrals, and their commutators – are bounded on the weighted variable Lebesgue space Lp(·) (w). We do so by applying the theory of weighted norm inequalities and extrapolation. 2026-02-13T12:09:09Z 2026-02-13T12:09:09Z 2024 Artículo Cabral, Enrique Adrián, 2024. Weighted norm inequalities for Schrödinger operators on variable Lebesgue spaces. Mathematical Inequalities & Applications. Zagreb: Element Publishing house, vol. 27, no. 4, p. 859-885. E-ISSN 1848-9966. DOI dx.doi.org/10.7153/mia-2024-27-59 1331-4343 http://repositorio.unne.edu.ar/handle/123456789/60056 eng dx.doi.org/10.7153/mia-2024-27-59 openAccess http://creativecommons.org/licenses/by-nc-nd/2.5/ar/ application/pdf p. 859-885 application/pdf Element Publishing house Mathematical Inequalities & Applications, 2024, vol. 27, no. 4, p. 859-885.
institution Universidad Nacional del Nordeste
institution_str I-48
repository_str R-184
collection RIUNNE - Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE)
language Inglés
topic Norm inequalities
Schrödinger operator
Variable Lebesgue spaces
Extrapolation
Weights
spellingShingle Norm inequalities
Schrödinger operator
Variable Lebesgue spaces
Extrapolation
Weights
Cabral, Enrique Adrián
Weighted norm inequalities for Schrödinger operators on variable Lebesgue spaces
topic_facet Norm inequalities
Schrödinger operator
Variable Lebesgue spaces
Extrapolation
Weights
description In this work we show that many operators from harmonic analysis associated with the semigroup generated by the Schr ̈odinger operator L = −Δ +V in n , where n > 2 and the non–negative potential V belongs to the reverse H ̈older class RHq with q > n/2 – such as max- imal operators, the Littlewood–Paley function, pseudo–differential operators, singular integrals, and their commutators – are bounded on the weighted variable Lebesgue space Lp(·) (w). We do so by applying the theory of weighted norm inequalities and extrapolation.
format Artículo
author Cabral, Enrique Adrián
author_facet Cabral, Enrique Adrián
author_sort Cabral, Enrique Adrián
title Weighted norm inequalities for Schrödinger operators on variable Lebesgue spaces
title_short Weighted norm inequalities for Schrödinger operators on variable Lebesgue spaces
title_full Weighted norm inequalities for Schrödinger operators on variable Lebesgue spaces
title_fullStr Weighted norm inequalities for Schrödinger operators on variable Lebesgue spaces
title_full_unstemmed Weighted norm inequalities for Schrödinger operators on variable Lebesgue spaces
title_sort weighted norm inequalities for schrödinger operators on variable lebesgue spaces
publisher Element Publishing house
publishDate 2026
url http://repositorio.unne.edu.ar/handle/123456789/60056
work_keys_str_mv AT cabralenriqueadrian weightednorminequalitiesforschrodingeroperatorsonvariablelebesguespaces
_version_ 1859884124748120064

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