Fractional Square Functions and Potential Spaces, Ⅱ |
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摘 要: | In this paper, we study fractional square functions associated with the Poisson semigroup for Schrdinger operators. We characterize the potential spaces in the Schrdinger setting by using vertical, area and g*λ fractional square functions.
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Fractional square functions and potential spaces,II |
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Authors: | Jorge J Betancor Juan C Fariña Lourdes Rodríguez-Mesa Ricardo Testoni José L Torrea |
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Institution: | 1. Departamento de Análisis Matemático, Universidad de La Laguna, Campus de Anchieta, Avda. Astrofísico Francisco Sánchez, 38271 La Laguna (Sta. Cruz de Tenerife), Spain;
2. Departamento de Matemática, Universidad Nacional del Sur, Avda. Alem 1253, 8000 Bahía Blanca, Buenos Aires, Argentina;
3. Departamento de Matemáticas, Universidad Autónoma de Madrid, ICMAT-CSIC-UAM-UCM-UC3M, Ciudad Universitaria de Canto Blanco, 28049 Madrid, Spain |
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Abstract: | In this paper, we study fractional square functions associated with the Poisson semigroup for Schrödinger operators. We characterize the potential spaces in the Schrödinger setting by using vertical, area and gλ* fractional square functions. |
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Keywords: | g-function Schrö dinger operator potential space |
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