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...
Guardado en:
| Autor principal: | |
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| Formato: | Artículo |
| Lenguaje: | Inglés |
| Publicado: |
Element Publishing House
2026
|
| Materias: | |
| Acceso en línea: | http://repositorio.unne.edu.ar/handle/123456789/60087 |
| Aporte de: |
| Sumario: | 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
. |
|---|