Aigerim KALYBAY, Ryskul OINAROV

121166

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,

Turkish Journal of Mathematics-Cover

ISSN: 1300-0098
Yayın Aralığı: 6
Yayıncı: TÜBİTAK

Arşiv

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