Department of Mathematical Analysis
Institute of Mathematics and Mechanics of ANAS
Az 1141, B. Vahabzade str., 9
Baku, Azerbaijan
email: bandaliyev.rovshan@math.ab.az
Rovshan A. Bandaliyev
Abstract:
In this article we study a connection between two nonlinear differential
equations with a two-dimensional Hardy operator in weighted Lebesgue spaces
with mixed norm. In particular, it is proved that the weight functions
which are the coefficients of nonlinear differential equations are included
in the estimate of the two-dimensional Hardy operator in this space.
Submitted February 5, 2016. Published December 12, 2016.
Math Subject Classifications: 46B50, 47B38, 34L30.
Key Words: Two-dimensional Hardy operator; weight functions;
Lebesgue spaces with mixed norm.
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Rovshan A. Bandaliyev Department of Mathematical Analysis Institute of Mathematics and Mechanics of ANAS Az 1141, B. Vahabzade str., 9 Baku, Azerbaijan email: bandaliyev.rovshan@math.ab.az |
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