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Review: Selected Papers of Norman Levinson by John A. Nohel and David H. Sattinger, Editors

100%

Gulisashvili A.

Mathematica Applicanda

1999

tom 27

nr 41

Artykuł nie zawiera streszczenia

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Interpolation on families of characteristic functions

63%

Cwikel M., Gulisashvili A.

Studia Mathematica

2000

tom 138

nr 3

209-224

We study a problem of interpolating a linear operator which is bounded on some family of characteristic functions. A new example is given of a Banach couple of function spaces for which such interpolation is possible. This couple is of the form $\overline Φ =(B,L^∞)$ where B is an arbitrary Banach lattice of measurable functions on a σ-finite nonatomic measure space (Ω,Σ,μ). We also give an equivalent expression for the norm of a function ⨍ in the real interpolation space $(B,L^∞)_{θ,p}$ in terms of the characteristic functions of the level sets of ⨍.

Ograniczanie wyników

1 Mathematica Applicanda

1 Studia Mathematica

2 Gulisashvili A.

1 Cwikel M.

1 2000

1 1999

Wyniki wyszukiwania

Review: Selected Papers of Norman Levinson by John A. Nohel and David H. Sattinger, Editors

Interpolation on families of characteristic functions