### Higher Order Commutators in Interpolation Theory.

M.J. Carro, J. Cerda, J. Soria (1995)

Mathematica Scandinavica

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M.J. Carro, J. Cerda, J. Soria (1995)

Mathematica Scandinavica

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S. Kaijser (1996)

Mathematica Scandinavica

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Michael Cwikel, Per Nilsson (1985)

Mathematica Scandinavica

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Edgar Lee Stout, Jean-Pierre Rosay (1988)

Mathematica Scandinavica

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Lars Erik Persson (1986)

Mathematica Scandinavica

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Jonathan Arazy, Michael Cwikel (1984)

Mathematica Scandinavica

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L.I. Nikolova, L.E. Persson (1993)

Mathematica Scandinavica

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Jaak Peetre (1974)

Mathematica Scandinavica

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Tord Holmstedt (1966)

Mathematica Scandinavica

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Mario Milman (1993)

Collectanea Mathematica

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We give an extension of the commutator theorems of Jawerth, Rochberg and Weiss [9] for the real method of interpolation. The results are motivated by recent work by Iwaniek and Sbordone [6] on generalized Hodge decompositions. The main estimates of these authors are based on a commutator theorem for a specific operator acting on Lp spaces and through the use of the complex method of interpolation. In this note we give an extension of the Iwaniek-Sbordone theorem to general real interpolation...

Jan Gustavsson (1978)

Mathematica Scandinavica

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Mieczysław Mastyło, Vladimir Ovchinnikov (1997)

Studia Mathematica

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We study those compatible couples of Banach spaces for which the complex method interpolation spaces are also described by the K-method of interpolation. As an application we present counter-examples to Cwikel's conjecture that all interpolation spaces of a Banach couple are described by the K-method whenever all complex interpolation spaces have this property.