Boundedness of Riemann-Liouville Operator from Weighted Sobolev Space to Weighted Lebesgue Space

Aigerim Kalybay; Ryskul Oinarov

Boundedness of Riemann-Liouville Operator from Weighted Sobolev Space to Weighted Lebesgue Space

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Authors

Aigerim Kalybay
Ryskul Oinarov

Keywords:

Sobolev space, Riemann-Liouville operator, weight function, boundedness, weighted inequality

Abstract

In this paper, we obtain a criterion for the boundedness of the Riemann-Liouville fractional integration operator from a weighted Sobolev space to a weighted Lebesgue space.

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Published

2024-05-29

How to Cite

Kalybay, A., & Oinarov, R. (2024). Boundedness of Riemann-Liouville Operator from Weighted Sobolev Space to Weighted Lebesgue Space. Eurasian Mathematical Journal, 12(1). Retrieved from https://emj.enu.kz/index.php/main/article/view/203