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On the Best Ranges for A +p and RH +r

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Abstract

In this paper we study the relationship between one-sided reverse Holder classes \(RH_r^ + \) and the \(A_p^ + \) classes. We find the best possible range of \(RH_r^ + \) to which an \(A_p^ + \) weight belongs, in terms of the \(A_p^ + \) constant. Conversely, we also find the best range of \(A_p^ + \) to which a \(RH_\infty ^ + \) weight belongs, in terms of the \(RH_\infty ^ + \) constant. Similar problems for \(A_p^ + \), \(RH_\infty ^ + \) and \(RH_r^ + ,1 < r < \infty \) are solved using factorization.

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Authors and Affiliations

  1. FaMAF, Universidad Nacional de Cordoba, 5000, Cordoba, Argentina

    M. S. Riveros

  2. Analisis Matematico, Facultad de Ciencias, Universidad de Malaga, 29071, Malaga, Spain

    A. de la Torre

Authors
  1. M. S. Riveros
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  2. A. de la Torre
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Riveros, M.S., Torre, A.d.l. On the Best Ranges for A +p and RH +r . Czechoslovak Mathematical Journal 51, 285–301 (2001). https://doi.org/10.1023/A:1013742829834

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