Yazar "Mustafayev, Rza Ch." seçeneğine göre listele

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    Iterated Hardy-type inequalities involving suprema
    (Element, 2017) Gogatishvili, Amiran; Mustafayev, Rza Ch.
    In this paper, the boundedness of the composition of the supremal operators defined, for a non-negative measurable functions f on (0,infinity), by S(u)g(t) := ess sup(0
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    New pre-dual space of Morrey space
    (Academic Press Inc Elsevier Science, 2013) Gogatishvili, Amiran; Mustafayev, Rza Ch.
    In this paper, we give new characterization of the classical Morrey space. Complementary global Morrey-type spaces are introduced. It is proved that for particular values of parameters these spaces give new pre-dual space of the classical Morrey space. We also show that our new pre-dual space of the Money space coincides with known pre-dual spaces. (C) 2012 Elsevier Inc. All rights reserved.
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    Pointwise multipliers between weighted copson and cesàro function spaces
    (Walter De Gruyter Gmbh, 2019) Gogatishvili, Amiran; Mustafayev, Rza Ch.; Unver, Tugce
    In this paper the solution of the pointwise multiplier problem between weighted Copson function spaces Cop(p1), (q1) ((u1,) (v1)) and weighted Cesaro function spaces Ces(p2, q2) (u(2), v(2)) is presented, where p(1), p(2), q(1), q(2) is an element of (0,infinity), p(2) <= q(2) and u(1), u(2), v(1), v(2) are weights on (0, infinity). (C) 2019 Mathematical Institute Slovak Academy of Sciences
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    Weighted Iterated Hardy-Type Inequalities
    (Element, 2017) Gogatishvili, Amiran; Mustafayev, Rza Ch.
    In this paper reduction and equivalence theorems for the boundedness of the composition of a quasilinear operator T with the Hardy and Copson operators in weighted Lebesgue spaces are proved. New equivalence theorems are obtained for the operator T to be bounded in weighted Lebesgue spaces restricted to the cones of monotone functions, which allow to change the cone of non-decreasing functions to the cone of non-increasing functions and vice versa not changing the operator T. New characterizations of the weighted Hardy-type inequalities on the cones of monotone functions are given. The validity of so-called weighted iterated Hardy-type inequalities are characterized.