The problem ∇ · 𝐯 = f and singular integrals on Orlicz spaces

Rostislav Vodák

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2002)

  • Volume: 41, Issue: 1, page 161-173
  • ISSN: 0231-9721

How to cite

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Vodák, Rostislav. "The problem $\nabla \cdot \mathbf {v}=f$ and singular integrals on Orlicz spaces." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 41.1 (2002): 161-173. <http://eudml.org/doc/23727>.

@article{Vodák2002,
author = {Vodák, Rostislav},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {singular integral; Bogovsky operator; Orlicz space; bounded domain; Lipschitz boundary; uniqueness; solvability},
language = {eng},
number = {1},
pages = {161-173},
publisher = {Palacký University Olomouc},
title = {The problem $\nabla \cdot \mathbf \{v\}=f$ and singular integrals on Orlicz spaces},
url = {http://eudml.org/doc/23727},
volume = {41},
year = {2002},
}

TY - JOUR
AU - Vodák, Rostislav
TI - The problem $\nabla \cdot \mathbf {v}=f$ and singular integrals on Orlicz spaces
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2002
PB - Palacký University Olomouc
VL - 41
IS - 1
SP - 161
EP - 173
LA - eng
KW - singular integral; Bogovsky operator; Orlicz space; bounded domain; Lipschitz boundary; uniqueness; solvability
UR - http://eudml.org/doc/23727
ER -

References

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  1. Calderón A. P., Zygmund A., On singular integrals, Amer. J. Math. 78 (1956), 289-309. (1956) MR0084633
  2. Galdi G., An Introduction to the Mathematical Theory of the Navier-Stokes Equations I, Springer Tracts in Natural Philosophy, Vol. 38, Springer, New York, 1994. (1994) MR2808162
  3. Krasnoselskij M. A., Rutickij J. B., Convex Functions and Orlicz Spaces, Noordhoff, Groningen, 1961. (1961) MR0126722
  4. Krbec M., Kokilashvili V., Weighted Inequalities in Lorentz and Orlicz Spaces, World Scientific, 1991. (1991) Zbl0751.46021MR1156767
  5. Kufner A., Fučík S., John O., Function Spaces, Academia, Praha, 1977. (1977) MR0482102
  6. Lacroix M.-T., Espaces de traces de espaces de Sobolev-Orlicz, J. de Math, pures et appl. 53 (1974), 439-458. (1974) MR0374897
  7. Stein I., Singular Integrals and Differentiability Properties of Functions, Princeton University Press, Princeton, New Jersey, 1970. (1970) Zbl0207.13501MR0290095

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