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Interpolation of Protoquantum Spaces

Functional Analysis and Its Applications, 2020
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Aristov, O. Yu., Volosova, N. V.
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Interpolation spaces and interpolation methods

Annali di Matematica Pura ed Applicata, 1965
Abstract : A study is made of the general structure of all possible interpolation methods. For some applications intermediate spaces between two given Banach spaces for which such a general interpolation method exists are characterized. The relevant intermediate spaces are those which are called interpolation spaces between two given Banach spaces. The
Aronszajn, N., Gagliardo, E.
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Modular Interpolation Spaces I

Zeitschrift für Analysis und ihre Anwendungen, 1982
An interpolation method in modular spaces is introduced and basic properties of obtained interpolation spaces are studied (completness, imbeddings etc.). The main result hero is a reiteration theorem. It is shown how the method works in Orlicz spaces and as an example of applications there is proved a multiplier theorem of the ...
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Interpolation of Multiplier Spaces

American Journal of Mathematics, 1983
''If X is a Banach space, the algebra of bounded linear operators on X is denoted by O(X). Now let \((B^ 0,B^ 1)\) be a pair of Banach spaces continuously embedded in a linear topological space.'' ''A Banach space B will be called an intermediate space provided we have \(B^ 0\cap B^ 1\subseteq B\subseteq B^ 0+B^ 1,\) with continuous inclusions. Write \(
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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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