Weighted inequalities for Schrodinger type singular integrals on variable Lebesgue spaces

In this paper we study the boundedness in weighted variable Lebesgue spaces of operators associated with the semigroup generated by the time-independent Schrödinger operator L = − Δ + V in R d , where d > 2 and the nonnegative potential V belongs to the reverse Hölder class...

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Autor principal: Cabral, Enrique Adrián
Formato: Artículo
Lenguaje:Inglés
Publicado: Element Publishing House 2026
Materias:
Schrödinger operator
Singular integrals
Variable Lebesgue spaces
Weights
Acceso en línea:http://repositorio.unne.edu.ar/handle/123456789/60087
Aporte de:
RIUNNE - Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE) de Universidad Nacional del Nordeste
id I48-R184-123456789-60087
record_format dspace
spelling I48-R184-123456789-600872026-02-24T10:11:59Z Weighted inequalities for Schrodinger type singular integrals on variable Lebesgue spaces Cabral, Enrique Adrián Schrödinger operator Singular integrals Variable Lebesgue spaces Weights In this paper we study the boundedness in weighted variable Lebesgue spaces of operators associated with the semigroup generated by the time-independent Schrödinger operator L = − Δ + V in R d , where d > 2 and the nonnegative potential V belongs to the reverse Hölder class RH q with q > d ∕ 2 . Each of the operators that we are going to deal with are singular integrals given by a kernel K ( x , y ) , which satisfies certain size and smoothness conditions in relation to a critical radius function ρ which comes appears naturally in the harmonic analysis related to Schrödinger operator L . 2026-02-23T19:18:12Z 2026-02-23T19:18:12Z 2024-06-29 Artículo Cabral, Enrique Adrián, 2024. Weighted inequalities for Schrodinger type singular integrals on variable Lebesgue spaces. Mathematical Inequalities & Applications. Zagreb: Element Publishing house, vol. 6, no. 2, p. 321-342. E-ISSN 1848-9966. 2576-7658 http://repositorio.unne.edu.ar/handle/123456789/60087 eng https://msp.org/tunis/2024/6-2/tunis-v6-n2-p05-s.pdf closedAccess http://creativecommons.org/licenses/by-nc-nd/2.5/ar/ application/pdf p. 321–342 application/pdf Element Publishing House Mathematical Inequalities & Applications, 2024, vol. 6, no. 2, p. 321–342
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 Schrödinger operator
Singular integrals
Variable Lebesgue spaces
Weights
spellingShingle Schrödinger operator
Singular integrals
Variable Lebesgue spaces
Weights
Cabral, Enrique Adrián
Weighted inequalities for Schrodinger type singular integrals on variable Lebesgue spaces
topic_facet Schrödinger operator
Singular integrals
Variable Lebesgue spaces
Weights
description In this paper we study the boundedness in weighted variable Lebesgue spaces of operators associated with the semigroup generated by the time-independent Schrödinger operator L = − Δ + V in R d , where d > 2 and the nonnegative potential V belongs to the reverse Hölder class RH q with q > d ∕ 2 . Each of the operators that we are going to deal with are singular integrals given by a kernel K ( x , y ) , which satisfies certain size and smoothness conditions in relation to a critical radius function ρ which comes appears naturally in the harmonic analysis related to Schrödinger operator L .
format Artículo
author Cabral, Enrique Adrián
author_facet Cabral, Enrique Adrián
author_sort Cabral, Enrique Adrián
title Weighted inequalities for Schrodinger type singular integrals on variable Lebesgue spaces
title_short Weighted inequalities for Schrodinger type singular integrals on variable Lebesgue spaces
title_full Weighted inequalities for Schrodinger type singular integrals on variable Lebesgue spaces
title_fullStr Weighted inequalities for Schrodinger type singular integrals on variable Lebesgue spaces
title_full_unstemmed Weighted inequalities for Schrodinger type singular integrals on variable Lebesgue spaces
title_sort weighted inequalities for schrodinger type singular integrals on variable lebesgue spaces
publisher Element Publishing House
publishDate 2026
url http://repositorio.unne.edu.ar/handle/123456789/60087
work_keys_str_mv AT cabralenriqueadrian weightedinequalitiesforschrodingertypesingularintegralsonvariablelebesguespaces
_version_ 1859884126590468096

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