Geodesic
Indices of Orlicz spaces and some applications
Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997) no. 3, pp. 433-451 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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We study connections between the Boyd indices in Orlicz spaces and the growth conditions frequently met in various applications, for instance, in the regularity theory of variational integrals with non-standard growth. We develop a truncation method for computation of the indices and we also give characterizations of them in terms of the growth exponents and of the Jensen means. Applications concern variational integrals and extrapolation of integral operators.
We study connections between the Boyd indices in Orlicz spaces and the growth conditions frequently met in various applications, for instance, in the regularity theory of variational integrals with non-standard growth. We develop a truncation method for computation of the indices and we also give characterizations of them in terms of the growth exponents and of the Jensen means. Applications concern variational integrals and extrapolation of integral operators.
Classification : 26A12, 35A15, 35B10, 42B20, 46E30, 46E35
Keywords: Boyd indices; Orlicz spaces; Simonenko indices; non-standard growth conditions; variational integrals; interpolation; extrapolation 
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     title = {Indices of {Orlicz} spaces and some applications},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
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     year = {1997},
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Fiorenza, Alberto; Krbec, Miroslav. Indices of Orlicz spaces and some applications. Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997) no. 3, pp. 433-451. http://geodesic.mathdoc.fr/item/CMUC_1997_38_3_a1/