Turkish Journal of Mathematics
DOI
10.3906/mat-1807-187
Abstract
In this paper, for a wide class of integral operators, we consider the problem of their boundedness from a weighted Sobolev space to a weighted Lebesgue space. The crucial step in the proof of the main result is to use the equivalence of the basic inequality and certain Hardy-type inequality, so we first state and prove this equivalence.
Keywords
Integral operator, kernel, weighted Lebesgue space, weighted Sobolev space, boundedness, compactnes
First Page
301
Last Page
315
Recommended Citation
KALYBAY, AIGERIM and OINAROV, RYSKUL
(2019)
"Kernel operators and their boundedness from weighted Sobolev space to weighted Lebesgue space,"
Turkish Journal of Mathematics: Vol. 43:
No.
1, Article 25.
https://doi.org/10.3906/mat-1807-187
Available at:
https://journals.tubitak.gov.tr/math/vol43/iss1/25
