On spaces L p ( x ) and W k , p ( x )

Ondrej Kováčik; Jiří Rákosník

Czechoslovak Mathematical Journal (1991)

  • Volume: 41, Issue: 4, page 592-618
  • ISSN: 0011-4642

How to cite


Kováčik, Ondrej, and Rákosník, Jiří. "On spaces $L^{p(x)}$ and $W^{k, p(x)}$." Czechoslovak Mathematical Journal 41.4 (1991): 592-618. <http://eudml.org/doc/13956>.

author = {Kováčik, Ondrej, Rákosník, Jiří},
journal = {Czechoslovak Mathematical Journal},
keywords = {Lebesgue and Sobolev spaces with variable order of integrability; embedding theorems; Sobolev-type spaces; weak solution; nonlinear boundary value problem},
language = {eng},
number = {4},
pages = {592-618},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On spaces $L^\{p(x)\}$ and $W^\{k, p(x)\}$},
url = {http://eudml.org/doc/13956},
volume = {41},
year = {1991},

AU - Kováčik, Ondrej
AU - Rákosník, Jiří
TI - On spaces $L^{p(x)}$ and $W^{k, p(x)}$
JO - Czechoslovak Mathematical Journal
PY - 1991
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 41
IS - 4
SP - 592
EP - 618
LA - eng
KW - Lebesgue and Sobolev spaces with variable order of integrability; embedding theorems; Sobolev-type spaces; weak solution; nonlinear boundary value problem
UR - http://eudml.org/doc/13956
ER -


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  5. M. A. Krasnoseľskii, Ya. B. Rutickii, Convex functions and Orlicz spaces, (Russian) Gosudarstv. Izdat. Fiz.-Mat. Lit., Moscow. 1958. English transl.: P. Noordhoff, Groningen, 1961. (1958) MR0126722
  6. J.Musielak, Orlicz spaces and modular spaces, Springer-Verlag, Berlin, 1983. (1983) Zbl0557.46020MR0724434

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  1. T. S. Kopaliani, On some structural properties of Banach function spaces and boundedness of certain integral operators
  2. Idrissa Ibrango, Stanislas Ouaro, Entropy solution for doubly nonlinear elliptic anisotropic problems with Fourier boundary conditions
  3. Michael Růžička, Modeling, mathematical and numerical analysis of electrorheological fluids
  4. Hans-Gerd Leopold, Embedding of function spaces of variable order of differentiation in function spaces of variable order of integration
  5. Mitsuo Izuki, Yoshihiro Sawano, Variable Lebesgue norm estimates for BMO functions
  6. J. J. Manfredi, J. D. Rossi, J. M. Urbano, p x -harmonic functions with unbounded exponent in a subdomain
  7. Hongbin Wang, Commutators of Marcinkiewicz integrals on Herz spaces with variable exponent
  8. Yongqiang Fu, Binlin Zhang, Weak solutions for elliptic systems with variable growth in Clifford analysis
  9. Jingshi Xu, The boundedness of multilinear commutators of singular integrals on Lebesgue spaces with variable exponent
  10. David Edmunds, Jiří Rákosník, Sobolev embeddings with variable exponent

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