Results 31 to 40 of about 595,216 (216)
Pseudodifferential Operators on Weighted Hardy Spaces [PDF]
Journal of Function Spaces, 2020 We study two sufficient conditions for the boundedness of a class of pseudodifferential operators T with symbols in the Hölmander class Sρ,δmℝn on weighted Hardy spaces Hω1ℝn, where ω belongs to Muckenhoupt class Ap. The first one is an estimate from Hω1ℝn into Lω1ℝn. We get a better range of admissible p and m.
Yu-long Deng, Shun-chao Long
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Mathematics, 2021 In this paper, we establish a new Hardy–Hilbert-type inequality involving parameters composed of a pair of weight coefficients with their sum. Our result is a unified generalization of some Hardy–Hilbert-type inequalities presented in earlier papers ...
Bicheng Yang, Shanhe Wu, Xingshou Huang
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Ground State for the Schrödinger Operator with the Weighted Hardy Potential
International Journal of Differential Equations, 2011 We establish the existence of ground states on ℝ𝑁 for the Laplace operator involving the Hardy-type potential. This gives rise to the existence of the principal eigenfunctions for the Laplace operator involving weighted Hardy potentials. We also obtain a
J. Chabrowski, K. Tintarev
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Cyclic Convolution Operators on the Hardy Spaces [PDF]
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hedayatian, K., Faghih-Ahmadi, M.
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Some New Sobolev-Type Theorems for the Rough Riesz Potential Operator on Grand Variable Herz Spaces
MathematicsIn this paper, our first objective is to define the idea of grand variable Herz spaces. Then, our main goal is to prove boundedness results for operators, including the rough Riesz potential operator of variable order and the fractional Hardy operators ...
Ghada AlNemer +3 more
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Journal of Function Spaces and Applications, 2013 We prove that the Hardy spaces associated with different homogeneities , are continuously embedded into the intersection of the isotropic Hardy spaces and the nonisotropic Hardy spaces . As a consequence, we obtain that any operator bounded from either
Xinfeng Wu
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On Optimal Hardy Inequalities in Cones
Bruno Pini Mathematical Analysis Seminar, 2014 For a given subcritical Schrödinger operator in a cone in ℝn with a given Hardy potential corresponding to the distance to the boundary of the cone, we present an explicit optimal Hardy-type improvement.
Baptiste Devyver +2 more
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Composition–differentiation operators on the Hardy space
Proceedings of the American Mathematical Society, 2020 Let φ \varphi be a nonconstant ...
Fatehi, Mahsa +1 more
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L p $L^{p}$ and BMO bounds for weighted Hardy operators on the Heisenberg group
Journal of Inequalities and Applications, 2016 In the setting of the Heisenberg group H n $\mathbb{H}^{n}$ , we characterize those nonnegative functions w defined on [ 0 , 1 ] $[0,1]$ for which the weighted Hardy operator H w $\mathsf{H}_{w}$ is bounded on L p ( H n ) $L^{p}(\mathbb{H}^{n})$ , 1 ≤ p ≤
Jie Ying Chu, Zun Wei Fu, Qing Yan Wu
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Journal of Computational and Applied Mathematics, 2007 Among William Desmond Evans's many outstanding contributions to analysis, his work on operators of Hardy type plays a prominent role. Such an operator \(T\) is of the form \(Tf(x)=\upsilon(x)\int_a^x u(t)f(t)\,dt\), where \(u\) and \(\upsilon\) are given functions on an interval \((a,b)\) that satisfy certain integrability conditions, and \(T\) is ...
Edmunds, D.E., Lang, J.
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