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Hardy operators and the commutators on Hardy spaces [PDF]
Journal of Inequalities and Applications, 2020 In this paper, the boundedness of the classic Hardy operator and its adjoint on Hardy spaces is obtained. We also discuss the boundedness for the commutators generated by the classic Hardy operator and its adjoint with B M O $BMO$ and C M O ( R + ) $CMO(\
Zhuang Niu, Shasha Guo, Wenming Li
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Compactness of Hardy–Steklov operator
Journal of Mathematical Analysis and Applications, 2003 Let \(a\) and \(b\) denote strictly increasing functions on \([0,\infty]\) such that \(a(0) = b(0) = 0\), \(a(\infty) = b(\infty) = \infty\) and \(a(x) < b(x)\) for \(x\in (0,\infty)\). The aim of the paper is to characterize the compactness of the Hardy-Steklov operator \((Tf)(x) = \int^{b(x)}_{a(x)} f(t)\,dt\) between weighted Lebesgue spaces \(L^p(u)
Jain, Pankaj, Gupta, Babita
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Product Hardy Operators on Hardy Spaces [PDF]
Tokyo Journal of Mathematics, 2015 We study the product Hausdorff operator $H_{\Phi}$ on the product Hardy spaces, and prove that, for a nonnegative valued function $\Phi$, $H_{\Phi}$ is bounded on the product Hardy space $H^{1}(\mathbb{R}\times \mathbb{R})$ if and only if $\Phi$ is a Lebesgue integrable function on $(0,\infty)\times (0,\infty)$.
FAN, Dashan, ZHAO, Fayou
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Sharp Constants for q-Analogue of Hausdorff Operators on Central q-Morrey Spaces
Journal of Function Spaces, 2022 In this paper, we establish the sharp constant for q-analogus of Hausdorff operators on central q-Morrey spaces. As applications, the sharp constants for the q-analogus of Hardy operator and its dual operator, the q-analogue of Hardy-Littlewood-Pólya ...
Mingquan Wei +3 more
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The non-commutative hardy-littlewood maximal operator on non-commutative lorentz spaces
Вестник КазНУ. Серия математика, механика, информатика, 2020 In this work we study the non-commutative Hardy-Littlewoodmaximal operator on Lorentz spacesofτ-measurable operators. Non-commutative maximal inequalities were studied, in particular,in [1–3].
N.T. Bekbayev, K.S. Tulenov
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Boundedness for Commutators of Rough p-Adic Hardy Operator on p-Adic Central Morrey Spaces
Journal of Function Spaces, 2021 In the present article we obtain the boundedness for commutators of rough p-adic Hardy operator on p-adic central Morrey spaces. Furthermore, we also acquire the boundedness of rough p-adic Hardy operator on Lebesgue spaces.
Naqash Sarfraz +2 more
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Boundedness for commutators of rough p-adic fractional Hardy type operators
Results in Applied Mathematics, 2023 In this paper, we introduce the rough p-adic Hardy type operator and obtain the boundedness for its commutator generated by the p-adic CMO function on p-adic Herz-type spaces.
Suixin He, Jing Zhang
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Sharp bounds for Hardy-type operators on mixed radial-angular central Morrey spaces
Journal of Inequalities and Applications, 2023 By using the rotation method, a sharp bound for an n-dimensional Hardy operator on mixed radial-angular central Morrey spaces is obtained. Furthermore, a sharp weak-type estimate for an n-dimensional Hardy operator on mixed radial-angular central Morrey ...
Mingquan Wei, Dunyan Yan
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Weighted Inequalities for a Superposition of the Copson Operator and the Hardy Operator
Journal of Fourier Analysis and Applications, 2022 We study a three-weight inequality for the superposition of the Hardy operator and the Copson operator, namely \begin{equation*} \bigg(\int_a^b \bigg(\int_t^b \bigg(\int_a^s f(τ)^p v(τ) \,dτ\bigg)^\frac{q}{p} u(s) \,ds \bigg)^{\frac{r}{q}} w(t) \,dt \bigg)^{\frac{1}{r}} \leq C \int_a^b f(t)\,dt, \end{equation*} in which $(a,b)$ is any nontrivial ...
Amiran Gogatishvili +4 more
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A note on Hardy-Littlewood maximal operators
Journal of Inequalities and Applications, 2016 In this paper, we will prove that, for 1 < p < ∞ $1 ...
Mingquan Wei +3 more
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