Hardy inequalities in function spaces

Hans Triebel

Mathematica Bohemica (1999)

  • Volume: 124, Issue: 2-3, page 123-130
  • ISSN: 0862-7959

Abstract

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Let Ω be a bounded C ∞ domain in ℝ n . The paper deals with inequalities of Hardy type related to the function spaces B p q s ( Ω ) and F p q s ( Ω ) .

How to cite

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Triebel, Hans. "Hardy inequalities in function spaces." Mathematica Bohemica 124.2-3 (1999): 123-130. <http://eudml.org/doc/248449>.

@article{Triebel1999,
abstract = {Let $\Omega $ be a bounded $C^\infty $ domain in $\mathbb \{R\}^n$. The paper deals with inequalities of Hardy type related to the function spaces $B^s_\{pq\}(\Omega )$ and $F^s_\{pq\}(\Omega )$.},
author = {Triebel, Hans},
journal = {Mathematica Bohemica},
keywords = {Hardy inequality; function spaces; Hardy inequality; function spaces},
language = {eng},
number = {2-3},
pages = {123-130},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Hardy inequalities in function spaces},
url = {http://eudml.org/doc/248449},
volume = {124},
year = {1999},
}

TY - JOUR
AU - Triebel, Hans
TI - Hardy inequalities in function spaces
JO - Mathematica Bohemica
PY - 1999
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 124
IS - 2-3
SP - 123
EP - 130
AB - Let $\Omega $ be a bounded $C^\infty $ domain in $\mathbb {R}^n$. The paper deals with inequalities of Hardy type related to the function spaces $B^s_{pq}(\Omega )$ and $F^s_{pq}(\Omega )$.
LA - eng
KW - Hardy inequality; function spaces; Hardy inequality; function spaces
UR - http://eudml.org/doc/248449
ER -

References

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  8. Runst, Th., Sickel W., Sobolev Spaces of Practional Order, Nemytskij Operators, and Nonlinear Partial Differential Equations, W. de Gruyter, Berlin 1996. (1996) MR1419319
  9. Triebel H., Interpolation Theory, Function Spaces, Differential Operators, North-Holland, Amsterdam, 1978 (2nd ed. Barth, Heidelberg 1995). (1978) Zbl0387.46033MR1328645
  10. Triebel H., Theory of Function Spaces, Birkhäuser, Basel, 1983. (1983) Zbl0546.46028MR0781540
  11. Triebel H., Theory of Function Spaces II, Birkhäuser, Basel, 1992. (1992) Zbl0763.46025MR1163193
  12. Triebel H., Approximation numbers and entropy numbers of embeddings of fractional Besov-Sobolev spaces in Orlicz spaces, Proc.London Math.Soc. 66 (1993), 589-618. (1993) Zbl0792.46024MR1207550
  13. Triebel H., Decompositions of function spaces, Topics in Nonlinear Analysis. Birkhäuser, Basel, 1999, pp. 691-730. (1999) Zbl0920.46027MR1725591

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