- Turkish Journal of Mathematics
- Vol: 43 Issue: 1
- Kernel operators and their boundedness from weighted Sobolev space to weighted Lebesgue space
Kernel operators and their boundedness from weighted Sobolev space to weighted Lebesgue space
Authors : Aigerim Kalybay, Ryskul Oinarov
Pages : 301-315
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Publication Date : 9999-12-31
Article Type : Makaleler
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