A multidimensional Wolff theorem
Fernando Cobos, Jaak Peetre (1989)
Studia Mathematica
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Fernando Cobos, Jaak Peetre (1989)
Studia Mathematica
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Yoram Sagher (1972)
Studia Mathematica
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A. K. Lerner, L. Liflyand (2003)
Collectanea Mathematica
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A scale of function spaces is considered which proved to be of considerable importance in analysis. Interpolation properties of these spaces are studied by means of the real interpolation method. The main result consists in demonstrating that this scale is interpolated in a way different from that for Lp spaces, namely, the interpolation space is not from this scale.
María J. Carro (1994)
Collectanea Mathematica
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L. Maligranda, L. E. Persson (1993)
Collectanea Mathematica
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Some examples of the close interaction between inequalities and interpolation are presented and discussed. An interpolation technique to prove generalized Clarkson inequalities is pointed out. We also discuss and apply to the theory of interpolation the recently found facts that the Gustavsson-Peetre class P can be described by one Carlson type inequality and that the wider class P can be characterized by another Carlson type inequality with blocks.
D. Staszak (1992)
Collectanea Mathematica
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Jan Gustavsson (1982)
Studia Mathematica
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Irina Asekritova, Natan Krugljak (1997)
Studia Mathematica
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It is shown that the main results of the theory of real interpolation, i.e. the equivalence and reiteration theorems, can be extended from couples to a class of (n+1)-tuples of Banach spaces, which includes (n+1)-tuples of Banach function lattices, Sobolev and Besov spaces. As an application of our results, it is shown that Lions' problem on interpolation of subspaces and Semenov's problem on interpolation of subcouples have positive solutions when all spaces are Banach function lattices...
Fernando Cobos, Pedro Fernández-Martínez, Antón Martínez (1999)
Studia Mathematica
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We investigate the behaviour of the measure of non-compactness of an operator under real interpolation. Our results refer to general Banach couples. An application to the essential spectral radius of interpolated operators is also given.
Martin Schechter (1967)
Compositio Mathematica
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