Title of article
Calderón–Lozanovski˘ı construction on weighted Banach function lattices
Author/Authors
Natan Krugljak and Lech Maligranda ?، نويسنده , , 1، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2003
Pages
14
From page
744
To page
757
Abstract
We show that the Calderón–Lozanovski˘ı construction ϕ(·) commute with arbitrary weighted Banach
function lattices, that is, ϕ(E0(w0),E1(w1)) = ϕ(E0,E1)(w) with w = 1/ϕ(1/w0, 1/w1) if
and only if ϕ is equivalent to a power function. From this result we can also get the Stein–Weiss
theorem on interpolation of weighted Lp spaces and its generalizations.
2003 Elsevier Inc. All rights reserved.
Keywords
Calder?n–Lozanovski?? spaces , Weighted spaces , Complex interpolation method , Banach function lattices , Weights , Quasi-Banachfunction lattices
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2003
Journal title
Journal of Mathematical Analysis and Applications
Record number
930963
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