Compact embedding theorems for generalized Sobolev spaces
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 4 (1993) no. 4, pp. 251-263.

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

In this Note we give some compact embedding theorems for Sobolev spaces, related to \( m \)-tuples of vectors fields of \( C^{1} \) class on \( \mathbb{R}^{N} \).
In questa Nota dimostriamo alcuni teoremi di immersione compatta per spazi di Sobolev, relativi a \( m \)-uple di campi vettoriali di classe \( C^{1} \) su \( \mathbb{R}^{N} \).
@article{RLIN_1993_9_4_4_a2,
     author = {Manfredini, Maria},
     title = {Compact embedding theorems for generalized {Sobolev} spaces},
     journal = {Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni},
     pages = {251--263},
     publisher = {mathdoc},
     volume = {Ser. 9, 4},
     number = {4},
     year = {1993},
     zbl = {0809.46028},
     mrnumber = {423064},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/RLIN_1993_9_4_4_a2/}
}
TY  - JOUR
AU  - Manfredini, Maria
TI  - Compact embedding theorems for generalized Sobolev spaces
JO  - Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni
PY  - 1993
SP  - 251
EP  - 263
VL  - 4
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/RLIN_1993_9_4_4_a2/
LA  - en
ID  - RLIN_1993_9_4_4_a2
ER  - 
%0 Journal Article
%A Manfredini, Maria
%T Compact embedding theorems for generalized Sobolev spaces
%J Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni
%D 1993
%P 251-263
%V 4
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/RLIN_1993_9_4_4_a2/
%G en
%F RLIN_1993_9_4_4_a2
Manfredini, Maria. Compact embedding theorems for generalized Sobolev spaces. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 4 (1993) no. 4, pp. 251-263. http://geodesic.mathdoc.fr/item/RLIN_1993_9_4_4_a2/

[1] A. Avantaggiati, Spazi di Sobolev con peso e alcune applicazioni. Boll. U.M.I., (5), 13-A, 1976, 1-52. | MR | Zbl

[2] M.S. Berger - M. Schechter, Embedding theorems and quasi-linear elliptic boundary value problems for unbounded domains. Trans. Amer. Math. Soc., 172, 1972, 261-278. | MR | Zbl

[3] R.R. Coifman - G. Weiss, Analyse harmonique non-commutative sur certain espaces homogènes. Lecture Notes in Mathematics, 242, Springer-Verlag, Berlin-New York 1971. | MR | Zbl

[4] C. Fefferman - D.H. Phong, Pseudo-differential operators with positive symbols. Seminair Goulaouic-Meyer-Schwartz, 23, 1981. | fulltext EuDML | fulltext mini-dml | fulltext mini-dml | Zbl

[5] G.B. Folland, Subelliptic estimates and function spaces on nilpotent Lie groups. Arkiv. for Math., 13, 1975, 161-207. | MR | Zbl

[6] G.B. Folland - C.R. Stein, Hardy spaces of homogeneous groups. Math. Notes Princeton Univ. Press, 1982. | MR | Zbl

[7] B. Franchi - E. Lanconelli, Une métrique associée à une classe d'opérateurs elliptiques dégénérés. Rend. Sem. Mat. Univ. Pol. Torino, 1983, Special Issue, 105-114. | MR | Zbl

[8] B. Franchi - E. Lanconelli, An embedding theorem for Sobolev spaces related to non-smooth vector fields and Harnach inequality. Comm. in Partial Differential Equations, 9, 1984, 1237-1264. | DOI | MR | Zbl

[9] B. Franchi - R. Serapioni, Pointwise estimates for a class of strongly degenerate elliptic operators: a geometrical approach. Ann. Scuola Norm., vol. XIV, 1987, 527-568. | fulltext EuDML | fulltext mini-dml | MR | Zbl

[10] W. Fulton - B. Harris, Representation theory: A first course. Graduate Text in Math., 129, Springer-Verlag, 1992. | DOI | MR | Zbl

[11] N. Garofalo - E. Lanconelli, Existence and nonexistence results for semilinear equations on the Heisenberg group. Ind. Univ. Math. Journ., 41, No. 1, 1992, 71-98. | DOI | MR | Zbl

[12] R. Hermann, Differential geometry and the calculus of variations. Academic Press, New York-London 1968. | MR | Zbl