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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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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 of Herz Spaces and Applications

Mathematische Nachrichten, 1999
AbstractC. Herz introduced in [Hr] some new spaces to study properties of functions. An Interesting account, with many applications, of some particular cases of the generalized Herz spaces is given in [BS]. In this paper we first identify the duals of the generalized Herz spaces.
Hernández, Eugenio, Yang, Dachun
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ON INTERPOLATION OF ENTROPY AND BLOCK SPACES

The Quarterly Journal of Mathematics, 1994
The paper investigates the real interpolation spaces concerning the entropy spaces (studied by C. P. Calderón and R. Fefferman) and block spaces (studied by Y. Meyer, M. H. Taibleson, G. Weiss). Two of such interpolation spaces are characterized in the paper by the explicit calculation of the \(E\)-functional. These two kinds of spaces are \[ (L^\infty,
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Interpolation by Multipliers of the Dirichlet Space

The Quarterly Journal of Mathematics, 1992
The main result of the paper under review is the following. Let \(\{w_ n\}_{n\geq 1}\) be a sequence of points of the unit disc such that \(| w_ n|\to 1\). Then there exists a subsequence \(\{w_{n_ k}\}_{k\geq 1}\) such that for any sequence \(\{c_ k\}_{k\geq 1}\) in \(\ell^ \infty\) there exists a function \(\varphi\) such that \(\varphi\) is a ...
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