Weighted inequalities for negative powers of Schrödinger operators
By B. Bongioanni, E. Harboure, O. Salinas. 2008
48 citations recorded by the source corpus.
Abstract In this article we obtain boundedness of the operator ( − Δ + V ) − α / 2 from L p , ∞ ( w ) into weighted bounded mean oscillation type spaces BMO L β ( w ) under appropriate conditions on the weight w. We also show that these weighted spaces also have a point-wise description for 0 β 1 . Finally, we study the behaviour of the operator ( − Δ + V ) − α / 2 when acting on BMO L β ( w ) .
Subfields: Applied Mathematics
View Paper: https://www.semanticscholar.org/paper/e952b3f0c48a3309c4ba14bd16b1c533b5172505
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In Applied Mathematics
- Pablo Raúl Stinga
- B. Bongioanni
- E. Harboure
- O. Salinas
- Lin Tang
- Fausto Ferrari
- Enrico Valdinoci
- Luz Roncal
Citations in the corpus
- Riesz transforms related to Schrödinger operators acting on BMO type spaces (2009, background): “The proof follows the same lines as in [1] for the case ν = 1.”
- Fractional powers of second order partial differential operators: extension problem and regularity theory (2010, methodology): “Salinas estudiaron la acotaci on de las integrales fraccionarias [15] y de las transformadas de Riesz [16] asociadas a una cierta clase de operadores de Schrodinger L = −∆ + V, en espacios de tipo BMOβL, 0 6 β < 1, utilizando t ecnicas de An alisis Arm onico.”