| Title:
|
Hardy inequalities in function spaces (English) |
| Author:
|
Triebel, Hans |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
124 |
| Issue:
|
2 |
| Year:
|
1999 |
| Pages:
|
123-130 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $\Omega$ be a bounded $C^\infty$ domain in $\Bbb{R}^n$. The paper deals with inequalities of Hardy type related to the function spaces $B^s_{pq}(\Omega)$ and $F^s_{pq}(\Omega)$. (English) |
| Keyword:
|
Hardy inequality |
| Keyword:
|
function spaces |
| MSC:
|
26D10 |
| MSC:
|
46E35 |
| idZBL:
|
Zbl 0940.46016 |
| idMR:
|
MR1780686 |
| DOI:
|
10.21136/MB.1999.126257 |
| . |
| Date available:
|
2009-09-24T21:36:11Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/126257 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
[3] Edmunds D. E., Triebel H.: Function Spaces, Entropy Numbers, Differential Operators.Cambridge Univ. Press, Cambridge, 1996. Zbl 0865.46020, MR 1410258 |
| Reference:
|
[4] Franke J.: On the spaces $F_{pq}^s$ of Triebel-Lizorkin type: pointwise multipliers and spaces on domains.Math. Nachr. 125 (1986), 29-68. MR 0847350, 10.1002/mana.19861250104 |
| Reference:
|
[5] Grisvard P.: Caractérisation de quelques éspaces d'interpolation.Arch. Rational Mech. Anal. 25 (1967), 40-63. Zbl 0187.05901, MR 0213864, 10.1007/BF00281421 |
| Reference:
|
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| Reference:
|
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| Reference:
|
[8] Runst, Th., Sickel W.: Sobolev Spaces of Practional Order, Nemytskij Operators, and Nonlinear Partial Differential Equations.W. de Gruyter, Berlin 1996. MR 1419319 |
| Reference:
|
[9] Triebel H.: Interpolation Theory, Function Spaces, Differential Operators.North-Holland, Amsterdam, 1978 (2nd ed. Barth, Heidelberg 1995). Zbl 0387.46033, MR 1328645 |
| Reference:
|
[10] Triebel H.: Theory of Function Spaces.Birkhäuser, Basel, 1983. Zbl 0546.46028, MR 0781540 |
| Reference:
|
[11] Triebel H.: Theory of Function Spaces II.Birkhäuser, Basel, 1992. Zbl 0763.46025, MR 1163193 |
| Reference:
|
[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. Zbl 0792.46024, MR 1207550 |
| Reference:
|
[13] Triebel H.: Decompositions of function spaces.Topics in Nonlinear Analysis. Birkhäuser, Basel, 1999, pp. 691-730. Zbl 0920.46027, MR 1725591 |
| . |
