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Interpolation operators in Orlicz–Sobolev spaces

Numerische Mathematik, 2007
Let \(W^{l,\varphi}(D)\) be the Orlicz--Sobolev spaces of order \(l\) over a set \(D\subset\mathbb{R}^n\) satisfying suitable conditions, where \(\varphi\) is a convex Orlicz function satisfying the \(\Delta_2\) condition for all arguments. First, an estimation of the error of approximation of \(v\in (W^{l,\varphi}(D))^N\) by \(Q^jv\) is obtained ...
Diening, Lars, Růžička, Michael
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Interpolation of weighted Orlicz spaces

Applied Mathematics and Computation, 2003
Given \(\overline X=(X_0, X_1)\) a compatible couple of quasi-Banach spaces, \textit{J.~Gustavsson} and \textit{J.~Peetre} [Stud. Math. 60, 33-59 (1977; Zbl 0353.46019)] defined the interpolation functor \(\langle\overline X\rangle_\rho\), where \(\rho\) is a pseudo-concave function.
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Ultraproducts of real interpolation spaces between Lp-spaces

Bulletin of the Brazilian Mathematical Society, New Series, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
López Molina, J.A.   +2 more
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Interpolation of several banach spaces

Annali di Matematica Pura ed Applicata, 1974
Peetre's K- and J-methods for interpolation are extended to the situation of more than two spaces. The theory developed is applied to interpolation of Lp-spaces with weights and to spaces of Besov and Sobolev type.
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Lp Spaces and Interpolation

2008
Many quantitative properties of functions are expressed in terms of their integrability to a power. For this reason it is desirable to acquire a good understanding of spaces of functions whose modulus to a power p is integrable.
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The biofilm matrix: multitasking in a shared space

Nature Reviews Microbiology, 2022
Hans-Curt Flemming   +2 more
exaly  

Cosmology with the Laser Interferometer Space Antenna

Living Reviews in Relativity, 2023
Germano Nardini
exaly  

Interpolation of Morrey Spaces

2015
Now we turn our attention to interpolation of linear operators on Morrey spaces, say $$\displaystyle{ T: L^{p,\lambda }\longrightarrow L^{q,\mu } }$$ for various p, q, λ, and μ; 1 < p, q < ∞, 0 < λ, μ < n.
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Space-Time Interpolation Techniques

2009
Das Modellieren und die Animation von 3D Szenen in fotorealistischer Qualität ist sehr arbeitsaufwändig, auch wenn moderne Verfahren benutzt werden. Wenn die Bilder in Echtzeit berechnet werden sollen ist diese Aufgabe um so schwieriger zu lösen.
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Interpolation Spaces

1976
Jöran Bergh, Jörgen Löfström
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