Aigerim KALYBAY, Ryskul OINAROV

120165

Kernel operators and their boundedness from weighted Sobolev space to weighted Lebesgue space

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,

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Turkish Journal of Mathematics-Cover
  • ISSN: 1300-0098
  • Yayın Aralığı: 6
  • Yayıncı: TÜBİTAK
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