On Hardy Inequality in Variable Lebesgue Spaces with Mixed Norm

Rovshan A. Bandaliyev (), Ayhan Serbetci () and Sabir G. Hasanov ()
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Rovshan A. Bandaliyev: Institute of Mathematics and Mechanics of NAS of Azerbaijan
Ayhan Serbetci: Ankara University
Sabir G. Hasanov: Ganja State University

Indian Journal of Pure and Applied Mathematics, 2018, vol. 49, issue 4, 765-782

Abstract: Abstract In this paper a two-weight boundedness of multidimensional Hardy operator and its dual operator acting from one weighted variable Lebesgue spaces with mixed norm into other weighted variable Lebesgue spaces with mixed norm spaces is proved. In particular, a new type two-weight criterion for multidimensional Hardy operator is obtained.

Keywords: Two-dimensional Hardy operator; weight functions; boundedness; variable Lebesgue spaces with mixed norm (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1007/s13226-018-0300-9

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