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Two-weighted estimates for some integral transforms in Lebesgue spaces with mixed norm and imbedding theorems

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Georgian Mathematical Journal

Abstract

Two-weighted inequalities are proved for anisotropic potentials. These estimates are used to obtain refinements of the well-known imbedding theorems in the scale of weighted Lebesgue spaces.

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Author notes

  1. V. Kokilashvili

    Present address: A. Razmadze Mathematical Institute, Georgian Academy of Sciences, 1, Z. Rukhadze St., 380093, Tbilisi, Republic of Georgia

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    1. V. Kokilashvili
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    Kokilashvili, V. Two-weighted estimates for some integral transforms in Lebesgue spaces with mixed norm and imbedding theorems. Georgian Mathematical Journal 1, 495–503 (1994). https://doi.org/10.1007/BF02317680

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    • DOI: https://doi.org/10.1007/BF02317680

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