Imbedding theorems of Sobolev spaces into Lorentz spaces

Luc Tartar

Bollettino dell'Unione Matematica Italiana (1998)

  • Volume: 1-B, Issue: 3, page 479-500
  • ISSN: 0392-4041

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Tartar, Luc. "Imbedding theorems of Sobolev spaces into Lorentz spaces." Bollettino dell'Unione Matematica Italiana 1-B.3 (1998): 479-500. <http://eudml.org/doc/195538>.

@article{Tartar1998,
author = {Tartar, Luc},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {imbedding theorems; Sobolev spaces; Lorentz spaces},
language = {eng},
month = {10},
number = {3},
pages = {479-500},
publisher = {Unione Matematica Italiana},
title = {Imbedding theorems of Sobolev spaces into Lorentz spaces},
url = {http://eudml.org/doc/195538},
volume = {1-B},
year = {1998},
}

TY - JOUR
AU - Tartar, Luc
TI - Imbedding theorems of Sobolev spaces into Lorentz spaces
JO - Bollettino dell'Unione Matematica Italiana
DA - 1998/10//
PB - Unione Matematica Italiana
VL - 1-B
IS - 3
SP - 479
EP - 500
LA - eng
KW - imbedding theorems; Sobolev spaces; Lorentz spaces
UR - http://eudml.org/doc/195538
ER -

References

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  1. BRÉZIS, H.- WAINGER, S., A note on limiting cases of Sobolev embeddings and convolution inequalities, Comm. Partial Differential Equations, 5 (1980), 773-789. Zbl0437.35071
  2. GAGLIARDO, E., Proprietà di alcune classi di funzioni in più variabili, Ricerche di Mat., Vol. VII (1958), 102-137. Zbl0089.09401MR102740
  3. HARDY, G. H.- LITTLEWOOD, L. E.- POLYA, G., Inequalities, Cambridge University Press, Cambridge, 1952. Zbl0047.05302
  4. JOHN, F.- NIRENBERG, L., On functions of bounded mean oscillations, Comm. Pure Appl. Math., 14 (1960), 93-140. Zbl0102.04302
  5. LIONS, J.-L., Problèmes aux limites dans les équations aux dérivées partielles, Les Presses de l'Université de Montréal, Montréal (1965). Zbl0143.14003MR251372
  6. LIONS, J.-L.- PEETRE, J., Sur une classe d'espaces d'interpolation, Inst. Hautes Etudes Sci. Publi. Math., 19 (1964), 5-68. Zbl0148.11403
  7. O'NEIL, R., Convolution operators and L p , q spaces, Duke Math. J., 30 (1963), 129-142. Zbl0178.47701MR146673
  8. PEETRE, J., Espaces d'interpolation et espaces de Soboleff, Ann. Inst. Fourier (Grenoble), 16 (1966), 279-317. Zbl0151.17903MR221282
  9. SCHWARTZ, L., Théorie des distributions, Hermann, Paris (1966). Zbl0149.09501MR209834
  10. SOBOLEV, S., Sur un théorème d'analyse fonctionnelle, Mat. Sb., 46 (1938), 471-497. 
  11. TROISI, M., Teoremi di inclusione per spazi di Sobolev non isotropi, Ricerche di Matematica, XVIII (1969), 3-24. Zbl0182.16802MR415302
  12. TRUDINGER, N., On imbeddings into Orlicz spaces and some applications, J. Math. Mech., 17 (1967), 473-483. Zbl0163.36402MR216286

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