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Associate Norms and Optimal Embeddings for a Class of Two-Weight Integral Quasi-Norms

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Abstract

We obtain formulas for the generalized functional norm associated with the two-weight integral quasi-norm. We describe a minimal generalized Banach function space containing a given quasi-Banach space defined by the two-weight integral quasi-norm.

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References

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Authors and Affiliations

  1. Peoples’ Friendship University of Russia, Moscow, Russia

    E. G. Bakhtigareeva & M. L. Goldman

Authors
  1. E. G. Bakhtigareeva
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  2. M. L. Goldman
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Corresponding author

Correspondence to E. G. Bakhtigareeva.

Additional information

Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 19, No. 5, pp. 3–33, 2014.

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Bakhtigareeva, E.G., Goldman, M.L. Associate Norms and Optimal Embeddings for a Class of Two-Weight Integral Quasi-Norms. J Math Sci 218, 549–571 (2016). https://doi.org/10.1007/s10958-016-3042-4

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  • DOI: https://doi.org/10.1007/s10958-016-3042-4

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