Indices of Orlicz spaces and some applications

Alberto Fiorenza; Miroslav Krbec

Commentationes Mathematicae Universitatis Carolinae (1997)

  • Volume: 38, Issue: 3, page 433-451
  • ISSN: 0010-2628

Abstract

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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.

How to cite

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Fiorenza, Alberto, and Krbec, Miroslav. "Indices of Orlicz spaces and some applications." Commentationes Mathematicae Universitatis Carolinae 38.3 (1997): 433-451. <http://eudml.org/doc/248093>.

@article{Fiorenza1997,
abstract = {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.},
author = {Fiorenza, Alberto, Krbec, Miroslav},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Boyd indices; Orlicz spaces; Simonenko indices; non-standard growth conditions; variational integrals; interpolation; extrapolation; Boyd indices; Orlicz spaces; Simonenko indices; non-standard growth conditions; variational integrals; interpolation; extrapolation},
language = {eng},
number = {3},
pages = {433-451},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Indices of Orlicz spaces and some applications},
url = {http://eudml.org/doc/248093},
volume = {38},
year = {1997},
}

TY - JOUR
AU - Fiorenza, Alberto
AU - Krbec, Miroslav
TI - Indices of Orlicz spaces and some applications
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1997
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 38
IS - 3
SP - 433
EP - 451
AB - 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.
LA - eng
KW - Boyd indices; Orlicz spaces; Simonenko indices; non-standard growth conditions; variational integrals; interpolation; extrapolation; Boyd indices; Orlicz spaces; Simonenko indices; non-standard growth conditions; variational integrals; interpolation; extrapolation
UR - http://eudml.org/doc/248093
ER -

References

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Citations in EuDML Documents

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  1. Sonia Acinas, Fernando Mazzone, Periodic solutions of Euler-Lagrange equations with sublinear potentials in an Orlicz-Sobolev space setting
  2. Włodzimierz Laskowski, Hong Thai Nguyen, Effective energy integral functionals for thin films with three dimensional bending moment in the Orlicz-Sobolev space setting
  3. Agnieszka Kałamajska, Katarzyna Pietruska-Pałuba, New Orlicz variants of Hardy type inequalities with power, power-logarithmic, and power-exponential weights

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