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Some Hardy Inequalities on the Heisenberg Group

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REFERENCES

  1. Ancona, A., J. London Math. Soc., 1986, vol. 34, pp. 274–290.

    Google Scholar 

  2. Lions, J.-L. and Magenes, E., Probl`emes aux limites non homog`enes et applications, Paris: Dunod, 1970, vol. 3.

    Google Scholar 

  3. Davies, E.B., Quart. J. Math. Oxford Ser., 1995, vol. 46, pp. 417–431.

    Google Scholar 

  4. Davies, E.B. and Hinz, A.M., Math. Z., 1998, vol. 227, pp. 511–523.

    Google Scholar 

  5. Baras, P. and Goldstein, J.A., Trans. Amer. Math. Soc., 1984, vol. 284, pp. 121–139.

    Google Scholar 

  6. Brezis, H. and Cabré, X., Boll. Unione Mat. Ital. Sez. B Artic. Ric. Mat., 1998, vol. 1, pp. 223–262.

    Google Scholar 

  7. García, Azorero, J.P., and Peral Alonso, I., J. Differ. Equat., 1998, vol. 144, pp. 441–476.

    Article  Google Scholar 

  8. Mitidieri, E. and Pohozaev, S.I., J. of Evolution Equat., 2001, vol. 1, pp. 189–220.

    Google Scholar 

  9. Mitidieri, E. and Pokhozhaev, S.I., Trudy Mat. Inst. im. Steklova RAN, 2001, vol. 232, pp. 1–375.

    Google Scholar 

  10. Brezis, H. and Vàzquez, J.L., Rev. Mat. Univ. Complut. Madrid, 1997, vol. 10, pp. 443–469.

    Google Scholar 

  11. Vazquez, J.L. and Zuazua, E., J. Func. Anal., 2000, vol. 173, pp. 103–153.

    Article  Google Scholar 

  12. Garofalo, N. and Lanconelli, E., Ann. Inst. Fourier. Grenoble, 1990, vol. 40, pp. 313–356.

    Google Scholar 

  13. Mitidieri, E., Mat. Zametki, 2000, vol. 67, pp. 563–572.

    Google Scholar 

  14. Gazzola, F., Grunau, H.-C., and Mitidieri, E., Hardy Inequalities with Optimal Constants and Remainder Terms(to appear).

  15. Folland, G.B. and Stein, E.M., Comm. Pure Appl. Math., 1974, vol. 27, pp. 429–522.

    Google Scholar 

  16. Hardy, G.H., Littlewood, J.E., and Pólya, G., Inequalities, Cambridge, 1934.

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  1. Università degli Studi di Bari, Bari, Italy

    L. D'Ambrosio

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  1. L. D'Ambrosio
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D'Ambrosio, L. Some Hardy Inequalities on the Heisenberg Group. Differential Equations 40, 552–564 (2004). https://doi.org/10.1023/B:DIEQ.0000035792.47401.2a

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