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Properties of Functions on a Bounded Charge Space
A charge space (X, 𝒜, µ) is a generalisation of a measure space, consisting of a sample space X, a field of subsets 𝒜 and a finitely additive measure µ, also known as a charge.
Keith Jonathan M.
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Local Existence Theorem of Fractional Differential Equations in Lp Space [PDF]
We proved the existence of P-integrable solution in -space, where for the fractional differential equation which has the form: with boundary condition where is the Caputo fractional derivative, and c are positive ...
Joseph Abdulahad, Shayma Murad
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In this paper, we shall extend a fundamental variational inequality which is developed by Simader in W1,p to a variable exponent Sobolev space W1,p(·).
Junichi Aramaki
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Fixed-point spectrum for group actions by affine isometries on Lp-spaces [PDF]
The fixed-point spectrum of a locally compact second countable group G on lp is defined to be the set of real numbers p such that every action by affine isometries of G on lp admits a fixed-point.
Lavy, Omer, Olivier, Baptiste
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Luminal Preservation Protects the Small Intestine in a Brain-dead Rat Model
Background. Intestinal transplantation depends on donation after brain death (DBD). Luminal preservation (LP) has been beneficial against preservation injury in previous studies in animal models, but none include DBD.
Guido Trentadue, MD, PhD +8 more
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Existence Solution of Volterra Hammerstein Equation in L^p Space [PDF]
In this paper we use the fixed-point theorem of Latrach, Taoudi and Zeghal under some conditions to find a solution for Volterra_Hammerstein integral equation in the Banach space L^p ([0,m],R). We use this fixed point theorem with new assumptions.
Mahmood Shihab
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Assessing Radish Health during Space Cultivation by Gene Transcription
During the Advanced Plant Habitat experiment 2, radish plants were grown in two successive grow-outs on the International Space Station (ISS) for 27 days each. On days 10, 18, and 24, leaf punch (LP) samples were collected and frozen.
Karl H. Hasenstein +2 more
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Strong q-variation inequalities for analytic semigroups [PDF]
Let T : Lp --> Lp be a positive contraction, with p strictly between 1 and infinity. Assume that T is analytic, that is, there exists a constant K such that \norm{T^n-T^{n-1}} < K/n for any positive integer n.
Christian, Le Merdy, Quanhua, Xu
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Algebraic genericity of strict-order integrability [PDF]
We provide sharp conditions on a measure µ defined on a measurable space X guaranteeing that the family of functions in the Lebesgue space Lp (µ, X) (p ≥ 1) which are not integrable with order q for any q > p (or any q < p) contains, except for zero ...
Bernal González, Luis
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Generalization of the space l(p) $l(p)$ derived by absolute Euler summability and matrix operators
The sequence space l(p) $l(p)$ having an important role in summability theory was defined and studied by Maddox (Q. J. Math. 18:345–355, 1967). In the present paper, we generalize the space l(p) $l(p)$ to the space |Eϕr|(p) $\vert E_{\phi }^{r} \vert (p)$
Fadime Gökçe, Mehmet Ali Sarıgöl
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