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

Aigerim Kalybay; Ryskul Oinarov

doi:10.32523/2077-9879-2021-12-1-39-48

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

Views: 259 / PDF downloads: 146

Authors

Aigerim Kalybay
Ryskul Oinarov

DOI:

https://doi.org/10.32523/2077-9879-2021-12-1-39-48

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.

Downloads

Published

2021-03-30

How to Cite

Kalybay, A., & Oinarov, R. (2021). Boundedness of Riemann-Liouville Operator from Weighted Sobolev Space to Weighted Lebesgue Space. Eurasian Mathematical Journal, 12(1), 39–48. https://doi.org/10.32523/2077-9879-2021-12-1-39-48