Iterated discrete Hardy-type inequalities with three weights for a class of matrix operators
Матрицалық операторлар класы үшiн үш салмақты итерацияланған дискреттi Харди типтi теңсiздiктер
Итерационные дискретные неравенства типа Харди с тремя весами для класса матричных операторов
Zhangabergenova N.S. Temirhanova A.M.
2023E.A. Buketov Karaganda University Publish house
Bulletin of the Karaganda University. Mathematics Series
2023#112Issue 4163 - 172 pp.
Iterated Hardy-type inequalities are one of the main objects of current research on the theory of Hardy inequalities. These inequalities have become well-known after study boundedness properties of the multidimensional Hardy operator acting from the weighted Lebesgue space to the local Morrie-type space. In addition, the results of quasilinear inequalities can be applied to study bilinear Hardy inequalities. In the paper, we discussed weighted discrete Hardy-type inequalities containing some quasilinear operators with a matrix kernel where matrix entries satisfy discrete Oinarov condition. The research of weighted Hardy-type inequalities depends on the relations between parameters p, q and θ, so we considered the cases 1 < p ≤ q < θ < ∞ and p ≤ q < θ < ∞, 0 < p ≤ 1, criteria for the fulfillment of iterated discrete Hardy-type inequalities are obtained. Moreover, an alternative method of proof was shown in the work.
discrete Lebesgue space , Hardy-type operator , Inequality , matrix operator , quasilinear operator , weight
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L.N. Gumilyov Eurasian National University, Astana, Kazakhstan
L.N. Gumilyov Eurasian National University
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026