Turkish Journal of Mathematics
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.
DOI
10.3906/mat-1807-187
Keywords
Integral operator, kernel, weighted Lebesgue space, weighted Sobolev space, boundedness, compactnes
First Page
301
Last Page
315
Recommended Citation
KALYBAY, A, & OINAROV, R (2019). Kernel operators and their boundedness from weighted Sobolev space to weighted Lebesgue space. Turkish Journal of Mathematics 43 (1): 301-315. https://doi.org/10.3906/mat-1807-187
