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On local properties of functions and singular integrals in terms of the mean oscillation

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Central European Journal of Mathematics

Abstract

This paper is devoted to research on local properties of functions and multidimensional singular integrals in terms of their mean oscillation. The conditions guaranteeing existence of a derivative in the L p-sense at a given point are found. Spaces which remain invariant under singular integral operators are considered.

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Authors and Affiliations

  1. Institute of Mathematics and Mechanics of National Academy of Sciences of Azerbaijan, Baku, AZ1141, Azerbaijan

    Rahim M. Rzaev & Lala R. Aliyeva

Authors
  1. Rahim M. Rzaev
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  2. Lala R. Aliyeva
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Correspondence to Rahim M. Rzaev.

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Rzaev, R.M., Aliyeva, L.R. On local properties of functions and singular integrals in terms of the mean oscillation. centr.eur.j.math. 6, 595–609 (2008). https://doi.org/10.2478/s11533-008-0046-4

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  • DOI: https://doi.org/10.2478/s11533-008-0046-4

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