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Fractional square functions and potential spaces, II

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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 g *λ fractional square functions.

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Authors and Affiliations

  1. Departamento de Análisis Matemático, Universidad de La Laguna, Campus de Anchieta, Avda. Astrofísico Francisco Sánchez, 38271, La Laguna (Sta. Cruz de Tenerife), Spain

    Jorge J. Betancor, Juan C. Fariña & Lourdes Rodríguez-Mesa

  2. Departamento de Matemática, Universidad Nacional del Sur, Avda. Alem 1253, 8000 Bahía Blanca, Buenos Aires, Argentina

    Ricardo Testoni

  3. Departamento de Matemáticas, Universidad Autónoma de Madrid, ICMAT-CSIC-UAM-UCM-UC3M, Ciudad Universitaria de Canto Blanco, 28049, Madrid, Spain

    José L. Torrea

Authors
  1. Jorge J. Betancor
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  2. Juan C. Fariña
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  3. Lourdes Rodríguez-Mesa
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  4. Ricardo Testoni
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  5. José L. Torrea
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Corresponding author

Correspondence to Jorge J. Betancor.

Additional information

The first three authors are supported by MTM2013-44357-P; the last author is partially supported by MTM2011-28149-C02-01

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Betancor, J.J., Fariña, J.C., Rodríguez-Mesa, L. et al. Fractional square functions and potential spaces, II. Acta. Math. Sin.-English Ser. 31, 1759–1774 (2015). https://doi.org/10.1007/s10114-015-4046-6

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  • DOI: https://doi.org/10.1007/s10114-015-4046-6

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