Results 91 to 100 of about 3,767,508 (152)
On convexity and supermodularity. [PDF]
Concavity and supermodularity are in general independent properties. A class of functionals defined on a lattice cone of a Riesz space has the Choquet property when it is the case that its members are concave whenever they are supermodular.
Luigi Montrucchio, Massimo Marinacci
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Extension of operators on pre-Riesz spaces [PDF]
, 2018 This thesis mainly extends the theory of positive operators on Riesz spaces to a setting of pre-Riesz spaces. The theory of pre-Riesz space was established by M.
Zhang, F.
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On relations between Nörlund and Riesz means [PDF]
Pacific Journal of Mathematics, 1973 openaire +3 more sources
, 2017 We note that the necessary and sufficient conditions established by Marcel Riesz for the inclusion of regular Nörlund summation methods are in fact applicable quite generally.
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General equilibrium analysis in ordered topological vector spaces [PDF]
The second welfare theorem and the core-equivalence theorem have been proved to be fundamental tools for obtaining equilibrium existence theorems, especially in an infinite dimensional setting.
Monique Florenzano +2 more
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Quasiadditivity of Riesz capacity
, 1991 Let 0 < α < n and kα(x) = |x|α−n the Riesz kernel on Rn. Define the Riesz capacity by Rα,p(E)
Hiroaki Aikawa
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, 1994 本文主要研究R的n次幂（n≥1）上修正Riesz位势Nμ原点的带权细极限。做为 Riesz位势细极限的一个推广，我们给出了修正Riesz位势Kμ的细极限的定理。This paper mainly discusses the fine limits of modify Riesz potential Nμ on Rn(n≥1).
杨智元
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On almost everywhere convergence of planar Bochner-Riesz mean [PDF]
We demonstrate that the almost everywhere convergence of the planar Bochner-Riesz means for $L^p$ functions in the optimal range when $5/3\leq p\leq 2$. This is achieved by establishing a sharp $L^{5/3}$ estimate for a maximal operator closely associated
Li, Xiaochun, Wu, Shukun
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The Variational Structure of Riesz Means
We establish the variational structure of Riesz means of negative eigenvalues of Schrödinger operators. For Hₕ(y) = −h²Δ − y(x) on L²(ℝᵈ), with negative eigenvalues λₙ = −κₙ² and L²-normalised eigenfunctions ψₙ, the Hellmann–Feynman theorem and the chain rule yield, for every Riesz order γ > ½, the functional identityδ/δy(x) ∑ₙ κₙ^(2γ) = γ ∑ₙ κₙ^(2γ−
Guir, Abdelbaki +1 more
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RIESZ MEANS OF THE DEDEKIND FUNCTION
RIESZ MEANS OF THE DEDEKIND FUNCTIONLet ψ denote the Dedekind totient function by id ∗ μ^2, where μ is the Möbius function. We establish the asymptotic formula of the general kth Riesz mean of the arithmetical function n/ψ(n) for any positive integer k ≥ 2; namely 1/k!Σ__〈n ≤x〉n/(ψ(n))(1-n/x)^k=(ζ(4)h(1))/( (k + 1)!ζ(2))x+O(1/kexp(-C((logx)^〈1/3〉)/((log logx)^〈1/3〉))) with h(1)=П__p(1+1/(
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