Riesz transforms related to Schrödinger operators acting on BMO type spaces

By B. Bongioanni, E. Harboure, O. Salinas. 2009

60 citations recorded by the source corpus.

Abstract In this work we obtain boundedness on suitable weighted BMO type spaces of Riesz transforms, and their adjoints, associated to the Schrodinger operator − Δ + V , where V satisfies a reverse Holder inequality. Our results are new even in the unweighted case.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/db24b11f8ac6534fd139a6754e0827017fd6e2a4

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In Applied Mathematics

1. Pablo Raúl Stinga
2. B. Bongioanni
3. E. Harboure
4. O. Salinas
5. Lin Tang
6. Fausto Ferrari
7. Enrico Valdinoci
8. Luz Roncal

In Mathematical Physics

1. Pablo Raúl Stinga
2. B. Bongioanni
3. E. Harboure
4. O. Salinas
5. Lin Tang

Citations in the corpus

• Commutators of Riesz Transforms Related to Schrödinger Operators (2011, background): “Details for (20) are given in [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.”