On the Boundedness of Quasilinear Integral Operators of Iterated Type with Oinarov's Kernels on the Cone of Monotone Functions

Vladimir Dmitrievich Stepanov; Guldarya Ermakovna Shambilova

On the Boundedness of Quasilinear Integral Operators of Iterated Type with Oinarov's Kernels on the Cone of Monotone Functions

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Authors

Vladimir Dmitrievich Stepanov
Guldarya Ermakovna Shambilova

Keywords:

Hardy type inequality, weighted Lebesgue space, quasilinear integral operator, Oinarov's kernel, cone of monotone functions

Abstract

We solve the characterization problem of \( L^p_v - L^r_\rho \) weighted inequalities on Lebesgue cones of monotone functions on the half-axis for quasilinear integral operators of iterated type with Oinarov's kernels.

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Published

2017-06-30

How to Cite

Stepanov, V. D., & Shambilova, G. E. (2017). On the Boundedness of Quasilinear Integral Operators of Iterated Type with Oinarov’s Kernels on the Cone of Monotone Functions. Eurasian Mathematical Journal, 8(2), 47–73. Retrieved from https://emj.enu.kz/index.php/main/article/view/663