Results 11 to 20 of about 760,630 (259)
An Improved Discrete p-Hardy Inequality [PDF]
Integral equations and operator theory, 2019 We improve the classical discrete Hardy inequality for ...
Florian Fischer +2 more
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Hardy and Rellich inequality on lattices [PDF]
Calculus of Variations and Partial Differential Equations, 2022 In this paper, we study the asymptotic behaviour of the sharp constant in discrete Hardy and Rellich inequality on the lattice $$\mathbb {Z}^d$$ Z d as $$d \rightarrow \infty $$ d → ∞ .
Shubham Gupta
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Finsler Hardy–Kato's inequality [PDF]
Journal of Mathematical Analysis and Applications, 2019 We prove an improved version of the trace-Hardy inequality, so-called Kato's inequality, on the half-space in Finsler context. The resulting inequality extends the former one obtained by \cite{AFV} in Euclidean context. Also we discuss the validity of the same type of inequalities on open cones.
Alvino, A. +4 more
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An optimal improvement for the Hardy inequality on the hyperbolic space and related manifolds [PDF]
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2017 We prove optimal improvements of the Hardy inequality on the hyperbolic space. Here, optimal means that the resulting operator is critical in the sense of Devyver, Fraas, and Pinchover (2014), namely the associated inequality cannot be further improved ...
E. Berchio +3 more
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Bohr’s inequality for non-commutative Hardy spaces [PDF]
Proceedings of the American Mathematical Society, 2021 In this paper we extend the classical Bohr’s inequality to the setting of the non-commutative Hardy space H associated with a semifinite von Neumann algebra. As a consequence, we obtain Bohr’s inequality for operators in the von Neumann-Schatten class C1
S. Lata, Dinesh Singh
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Some new scales of characterization of Hardy’s inequality; pp. 7–18 [PDF]
Proceedings of the Estonian Academy of Sciences, 2010 Let 1 lt; p ⤠q lt; â. Inspired by some recent results concerning Hardy-type inequalities where the equivalence of four scales of integral conditions was proved, we use related ideas to find ten new equivalence scales of integral conditions.
Amiran Gogatishvili +2 more
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Remarks on Some Higher Dimensional Hardy Inequalities
International Journal of Analysis and Applications, 2023 In this note, we give an elementary proof of Hardy inequality in higher dimensions introduced by Christ and Grafakos. The advantage of our approach is that it uses the one-dimensional Hardy inequality to obtain higher dimensional versions.
Zraiqat Amjad +3 more
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A Reverse Hardy–Hilbert’s Inequality Containing Multiple Parameters and One Partial Sum
Mathematics, 2022 In this work, by introducing multiple parameters and utilizing the Euler–Maclaurin summation formula and Abel’s partial summation formula, we first establish a reverse Hardy–Hilbert’s inequality containing one partial sum as the terms of double series ...
Bicheng Yang, Shanhe Wu, Xingshou Huang
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A Weighted Generalization of Hardy–Hilbert-Type Inequality Involving Two Partial Sums
Mathematics, 2023 In this paper, we address Hardy–Hilbert-type inequality by virtue of constructing weight coefficients and introducing parameters. By using the Euler–Maclaurin summation formula, Abel’s partial summation formula, and differential mean value theorem, a new
Bicheng Yang, Shanhe Wu
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An Extension Problem and Trace Hardy Inequality for the Sub-Laplacian on H-type Groups [PDF]
International mathematics research notices, 2017 In this paper we study the extension problem for the sub-Laplacian on an $H$-type group and use the solutions to prove trace Hardy and Hardy inequalities for fractional powers of the sub-Laplacian.
L. Roncal, S. Thangavelu
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