Compact embedding theorems for generalized Sobolev spaces

Maria Manfredini

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1993)

  • Volume: 4, Issue: 4, page 251-263
  • ISSN: 1120-6330

Abstract

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In this Note we give some compact embedding theorems for Sobolev spaces, related to m -tuples of vectors fields of C 1 class on R N .

How to cite

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Manfredini, Maria. "Compact embedding theorems for generalized Sobolev spaces." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 4.4 (1993): 251-263. <http://eudml.org/doc/244253>.

@article{Manfredini1993,
abstract = {In this Note we give some compact embedding theorems for Sobolev spaces, related to \( m \)-tuples of vectors fields of \( C^\{1\} \) class on \( \mathbb\{R\}^\{N\} \).},
author = {Manfredini, Maria},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Sobolev spaces; Compact embedding; Carathéodory distance; compact embedding theorems for Sobolev spaces},
language = {eng},
month = {12},
number = {4},
pages = {251-263},
publisher = {Accademia Nazionale dei Lincei},
title = {Compact embedding theorems for generalized Sobolev spaces},
url = {http://eudml.org/doc/244253},
volume = {4},
year = {1993},
}

TY - JOUR
AU - Manfredini, Maria
TI - Compact embedding theorems for generalized Sobolev spaces
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1993/12//
PB - Accademia Nazionale dei Lincei
VL - 4
IS - 4
SP - 251
EP - 263
AB - In this Note we give some compact embedding theorems for Sobolev spaces, related to \( m \)-tuples of vectors fields of \( C^{1} \) class on \( \mathbb{R}^{N} \).
LA - eng
KW - Sobolev spaces; Compact embedding; Carathéodory distance; compact embedding theorems for Sobolev spaces
UR - http://eudml.org/doc/244253
ER -

References

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  1. AVANTAGGIATI, A., Spazi di Sobolev con peso e alcune applicazioni. Boll. U.M.I., (5), 13-A, 1976, 1-52. Zbl0355.46016MR423064
  2. BERGER, M.S. - SCHECHTER, M., Embedding theorems and quasi-linear elliptic boundary value problems for unbounded domains. Trans. Amer. Math. Soc., 172, 1972, 261-278. Zbl0253.35038MR312241
  3. COIFMAN, R.R. - WEISS, G., Analyse harmonique non-commutative sur certain espaces homogènes. Lecture Notes in Mathematics, 242, Springer-Verlag, Berlin-New York1971. Zbl0224.43006MR499948
  4. FEFFERMAN, C. - PHONG, D.H., Pseudo-differential operators with positive symbols. Seminair Goulaouic-Meyer-Schwartz, 23, 1981. Zbl0483.35085
  5. FOLLAND, G.B., Subelliptic estimates and function spaces on nilpotent Lie groups. Arkiv. for Math., 13, 1975, 161-207. Zbl0312.35026MR494315
  6. FOLLAND, G.B. - STEIN, C.R., Hardy spaces of homogeneous groups. Math. NotesPrinceton Univ. Press, 1982. Zbl0508.42025MR657581
  7. FRANCHI, B. - LANCONELLI, E., Une métrique associée à une classe d'opérateurs elliptiques dégénérés. Rend. Sem. Mat. Univ. Pol. Torino, 1983, Special Issue, 105-114. Zbl0553.35033MR745979
  8. FRANCHI, B. - LANCONELLI, E., An embedding theorem for Sobolev spaces related to non-smooth vector fields and Harnach inequality. Comm. in Partial Differential Equations, 9, 1984, 1237-1264. Zbl0589.46023MR764663DOI10.1080/03605308408820362
  9. FRANCHI, B. - SERAPIONI, R., Pointwise estimates for a class of strongly degenerate elliptic operators: a geometrical approach. Ann. Scuola Norm., vol. XIV, 1987, 527-568. Zbl0685.35046MR963489
  10. FULTON, W. - HARRIS, B., Representation theory: A first course. Graduate Text in Math., 129, Springer-Verlag, 1992. Zbl0744.22001MR1153249DOI10.1007/978-1-4612-0979-9
  11. GAROFALO, N. - LANCONELLI, E., Existence and nonexistence results for semilinear equations on the Heisenberg group. Ind. Univ. Math. Journ., 41, No. 1, 1992, 71-98. Zbl0793.35037MR1160903DOI10.1512/iumj.1992.41.41005
  12. HERMANN, R., Differential geometry and the calculus of variations. Academic Press, New York-London1968. Zbl0371.49001MR233313

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