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Interpolation operators in Orlicz–Sobolev spaces
Numerische Mathematik, 2007Let \(W^{l,\varphi}(D)\) 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, 2003Given \(\overline X=(X_0, X_1)\) 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, 2006zbMATH 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, 1974Peetre'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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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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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, 2022Hans-Curt Flemming +2 more
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Cosmology with the Laser Interferometer Space Antenna
Living Reviews in Relativity, 2023Germano Nardini
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Interpolation of Morrey Spaces
2015Now 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
2009Das 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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