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
core +3 more sources
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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On Interpolation in L p Spaces
then X is an interpolation space between the spaces Lp and Lq . This means that any bounded linear operator T in Lp and Lq is also bounded in the space X . This theorem was proved by Boyd [1] in 1967 under the additional assumption that X possesses the Fatou property (see also [2] and [3, Theorem 5.16]).
Astashin, S. V., Maligranda, Lech
openaire +5 more sources
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
doaj +1 more source
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
doaj +1 more source
Severe C8 or T1 Symptoms after Cervical Laminoplasty and Related Factors: Are There Any Differences between C3–C6 Laminoplasty and C3–C7 Laminoplasty? [PDF]
Study Design Retrospective study. Purpose We experienced the situation wherein some patients had new-onset pain or dysesthesia around the ring and little fingers (C8 symptom) or ulnar aspect of the forearm (T1 symptom) after cervical laminoplasty (LP ...
Hitoshi Kudo+8 more
doaj +1 more source
Nonlinear Volterra difference equations in space lp
We consider a class of vector nonlinear discrete-time Volterra equations in space lp and derive estimates for the norms of solutions. These estimates give us explicit stability conditions, which allow us to avoid finding Lyapunov functionals.
Michael I. Gil', Rigoberto Medina
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Multiparameter ergodic Cesàro-α averages [PDF]
Let (X,F,ν) be a σ-finite measure space. Associated with k Lamperti operators on Lp(ν), T1,…,Tk, nˉ=(n1,…,nk)∈Nk and αˉ=(α1,…,αk) with 01/α∗ where α∗=min1≤j≤kαj. In the limit case p=1/α∗, we prove that the averages Rnˉ,αˉf converge almost everywhere on X
Bernardis, Ana Lucia+2 more
core +1 more source
Note on Order-Isomorphic Isometric Embeddings of Some Recent Function Spaces
We investigate certain recently introduced ODE-determined varying exponent Lp spaces. It turns out that these spaces are finitely representable in a concrete universal varying exponent lp space.
Jarno Talponen
doaj +1 more source