Superposition of imbeddings and Fefferman's inequality

Miroslav Krbec; Thomas Schott

Bollettino dell'Unione Matematica Italiana (1999)

  • Volume: 2-B, Issue: 3, page 629-637
  • ISSN: 0392-4041

How to cite

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Krbec, Miroslav, and Schott, Thomas. "Superposition of imbeddings and Fefferman's inequality." Bollettino dell'Unione Matematica Italiana 2-B.3 (1999): 629-637. <http://eudml.org/doc/195175>.

@article{Krbec1999,
author = {Krbec, Miroslav, Schott, Thomas},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {Sobolev spaces; Hardy inequality; decomposition of imbeddings},
language = {eng},
month = {10},
number = {3},
pages = {629-637},
publisher = {Unione Matematica Italiana},
title = {Superposition of imbeddings and Fefferman's inequality},
url = {http://eudml.org/doc/195175},
volume = {2-B},
year = {1999},
}

TY - JOUR
AU - Krbec, Miroslav
AU - Schott, Thomas
TI - Superposition of imbeddings and Fefferman's inequality
JO - Bollettino dell'Unione Matematica Italiana
DA - 1999/10//
PB - Unione Matematica Italiana
VL - 2-B
IS - 3
SP - 629
EP - 637
LA - eng
KW - Sobolev spaces; Hardy inequality; decomposition of imbeddings
UR - http://eudml.org/doc/195175
ER -

References

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  2. BRÉZIS, H.- WAINGER, S., A note on limiting cases of Sobolev embeddings and convolution inequalities, Comm. Partial Diff. Equations, 5 (1980), 773-789. Zbl0437.35071MR579997
  3. CARLEMAN, T., Sur un problème d'unicité pour les systèmes d'équations aux dérivées partielles à deux variables indépendantes, Ark. Mat., 26(B), 1-9. Zbl0022.34201
  4. CHANILLO, S.- SAWYER, E., Unique continuation for Δ + V and C. Fefferman-Phong class, Trans. Amer. Math. Soc., 318 (1990), 275-300. Zbl0702.35034MR958886
  5. EDMUNDS, D. E.- KRBEC, M., On decomposition in exponential Orlicz spaces, in preparation. Zbl0971.46019
  6. FEFFERMAN, C., The uncertainty principle, Bull. Amer. Math. Soc., 9 (1983), 129-206. Zbl0526.35080MR707957
  7. GOSSEZ, J.-P.- LOULIT, A., A note on two notions of unique continuation, Bull. Soc. Math. Belg. Ser. B, 45, No. 3 (1993), 257-268. Zbl0828.35035MR1316725
  8. JERISON, D.- KENIG, C., Unique continuation and absence of positive eigenvalues for Schrödinger operator, Ann. of Math., 121 (1985), 463-488. Zbl0593.35119MR794370
  9. KRASNOSELSKII, M. A.- RUTITSKII, J. B., Convex functions and Orlicz spaces, Noordhof, Groningen (1961); English transl. from the first Russian edition Gos. Izd. Fiz. Mat. Lit., Moskva (1958). 
  10. KRBEC, M.- LANG, J., On imbeddings between weighted Orlicz-Lorentz spaces, Georgian Math. J., 4 (1997), 117-128. Zbl0899.46022MR1439590
  11. MONTGOMERY-SMITH, S. J., Comparison of Orlicz-Lorentz spaces, Studia Math., 103(2) (1992), 161-189. Zbl0814.46023MR1199324
  12. MUSIELAK, J., Orlicz spaces and modular spaces, Springer-Verlag, Lecture Notes in Math., Vol. 1034, Berlin (1983). Zbl0557.46020MR724434
  13. PAN, Y., Unique continuation for Schrödinger operators with singular potentials, Comm. Partial Diff. Equations, 17 (1992), 953-965. Zbl0810.35005MR1177300
  14. STEIN, E. M., Appendix to «Unique continuation», Ann. of Math., 121 (1985), 489-494. MR794370
  15. TRUDINGER, N., On imbeddings into Orlicz spaces and some applications, J. Math. Mech., 17 (1967), 473-483. Zbl0163.36402MR216286
  16. WOLFF, T. H., Note on counterexamples in strong unique continuation problems, Proc. Amer. Math. Soc., 114 (1992), 351-356. Zbl0744.35012MR1014648
  17. ZIEMER, W. P., Weakly differentiable functions, Springer, New York (1989). Zbl0692.46022MR1014685

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