Fractional powers of the Schrödinger operator on weigthed Lipschitz spaces
| Autor: | Bruno Bongioanni, Eleonor Ofelia Harboure, Pablo Quijano |
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| Rok vydání: | 2021 |
| Předmět: |
Pure mathematics
Smoothness (probability theory) Semigroup General Mathematics 010102 general mathematics Hölder condition Sigma Lipschitz continuity 01 natural sciences 010101 applied mathematics Fractional differentiation symbols.namesake Operator (computer programming) symbols 0101 mathematics Schrödinger's cat Mathematics |
| Zdroj: | Revista Matemática Complutense. 35:515-543 |
| ISSN: | 1988-2807 1139-1138 |
| Popis: | In the setting of the semigroup generated by the Schrodinger operator $$L= -\Delta +V$$ with the potential V satisfying an appropriate reverse Holder condition, we consider some non-local fractional differentiation operators. We study their behaviour on suitable weighted smoothness spaces. Actually, we obtain such continuity results for positive powers of L as well as for the mixed operators $$L^{\alpha /2}V^{\sigma /2}$$ and $$L^{-\alpha /2}V^{\sigma /2}$$ with $$\sigma >\alpha $$ , together with their adjoints. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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