Geodesic
On the $\Cal L$-characteristic of fractional powers of linear operators
Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994) no. 1, pp. 21-34 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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We describe the geometric structure of the ${\Cal L}$-characteristic of fractional powers of bounded or compact linear operators over domains with arbitrary measure. The description builds essentially on the Riesz-Thorin and Marcinkiewicz-Stein-Weiss-\linebreak Ovchinnikov interpolation theorems, as well as on the Krasnosel'skij-Krejn factorization theorem.
We describe the geometric structure of the ${\Cal L}$-characteristic of fractional powers of bounded or compact linear operators over domains with arbitrary measure. The description builds essentially on the Riesz-Thorin and Marcinkiewicz-Stein-Weiss-\linebreak Ovchinnikov interpolation theorems, as well as on the Krasnosel'skij-Krejn factorization theorem.
Classification : 46E30, 46M35, 47A57, 47A60, 47A99, 47B37, 47B38
Keywords: fractional powers of operators; $L$-characteristic; Lebesgue spaces; interpolation theorems 
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     title = {On the $\Cal L$-characteristic of fractional powers of linear operators},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {21--34},
     year = {1994},
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     number = {1},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1994_35_1_a2/}
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Appell, Jürgen; Simões, Marilda A.; Zabrejko, Petr P. On the $\Cal L$-characteristic of fractional powers of linear operators. Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994) no. 1, pp. 21-34. http://geodesic.mathdoc.fr/item/CMUC_1994_35_1_a2/