Results 51 to 60 of about 2,082 (82)

Interpolation Functors In Weak-Type Interpolation

Results in Mathematics, 1997
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Fehér, F., Strauss, M. J.
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Real Interpolation with Logarithmic Functors and Reiteration

Canadian Journal of Mathematics, 2000
AbstractWe present “reiteration theorems” with limiting values θ = 0 and θ = 1 for a real interpolation method involving broken-logarithmic functors. The resulting spaces lie outside of the original scale of spaces and to describe them new interpolation functors are introduced.
Evans, W. D., Opic, B.
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Interpolation of compactness using Aronszajn-Gagliardo functors

Israel Journal of Mathematics, 1989
Let \(\bar A=(A_ 0,A_ 1)\) and \(\bar B=(B_ 0,B_ 1)\) be Banach couples and suppose that T: \(A_ i\to B_ i\), is a compact operator, \(i=1,2\). The authors prove that, for all F maximal or minimal Aronszajn- Gagliardo interpolation functor, \(T: F(\bar A)\to F(\bar B)\) is compact. The result applies, in particular, to the real method of interpolation,
Cobos, Fernando, Peetre, Jaak
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TWO EMBEDDING THEOREMS FOR INTERPOLATION FUNCTORS ON COUPLES OF GLOBAL MORREY SPACES

Journal of Mathematical Sciences, 2022
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Stable interpolation functors

Functional Analysis and Its Applications, 1985
L'auteur annonce des résultats mettant en évidence des propriétés qui permettent de généraliser le théorème de réitération de la théorie de l'interpolation au sens de Lions-Magenese-Peetre (Th. 4).
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Certain problems on the commutativity of interpolation functors

Journal of Contemporary Mathematical Analysis, 2013
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One property of functors of the real interpolation method

Mathematical Notes of the Academy of Sciences of the USSR, 1985
A Banach space X is said to be intermediate between a Banach pair \(\vec X\equiv (X_ 0,X_ 1)\) if \(X_ 0\cap X_ 1\subseteq X\subseteq X_ 0+X_ 1\) (where embeddings are continuous). For such Banach triples, \((X_ 0,X_ 1,X)\) is said to be interpolative relative to \((Y_ 0,Y_ 1,Y)\) iff for each linear operator \(T:X_ 1\to Y_ 1\), \(i=0,1\), T(X ...
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A new Brézis‐Gallouët‐Wainger inequality from the viewpoint of the real interpolation functors

Mathematische Nachrichten, 2013
The Brézis‐Gallouët‐Wainger inequality describes a subtle embedding property into . The relation between the Brézis‐Gallouët‐Wainger inequality and the real interpolation functor together with the sharpness of the results is discussed in the present paper.
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Extrapolation functors on a family of scales generated by the real interpolation method

Siberian Mathematical Journal, 2005
Summary: A new class of extrapolation functors is defined on a family of scales generated by the real interpolation method. We prove extrapolation relations for the \(K\)- and \(J\)-functionals corresponding to some natural pairs of limit spaces which make it possible to describe the values of these functors.
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A many-parameter interpolation functor and the lorentz space $$L_{p\vec q} ,\vec q = (q_1 , \ldots ,q_n )$$

Functional Analysis and Its Applications, 1997
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