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Mathematische Zeitschrift
Volumn 231, Issue 1, 1999, Pages 103-122
The trace problem for vector fields satisfying Hörmander's condition
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EID: 0033454872     PISSN: 00255874     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00004720     Document Type: Article
Times cited : (15)
References (14)
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    • (1961) Trudy Mat. Inst. Steklov , vol.60 , pp. 42-81
    • Besov, O.1
  • 3
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    • O. Besov: Investigation of a family of function spaces in connection with theorems of imbeddings and extensions, Trudy Mat. Inst. Steklov 60 (1961), 42-81; Transl.: Amer. Math. Soc. Translations, Ser. 2 40 (1964), 161-207.
    • (1964) Transl.: Amer. Math. Soc. Translations, Ser. 2 , vol.40 , pp. 161-207
  • 4
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    • Caratheizzazione delle trace sulla frontiera relativ ad aleune classi di funzioni in n variabili
    • (M.R. 21, 1525)
    • E. Gagliardo: Caratheizzazione delle trace sulla frontiera relativ ad aleune classi di funzioni in n variabili, Rend. Sem. Mat. Univ. Padova 27 (1957), 284-305; (M.R. 21, 1525)
    • (1957) Rend. Sem. Mat. Univ. Padova , vol.27 , pp. 284-305
    • Gagliardo, E.1
  • 5
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    • Hypoelliptic second order differential equations
    • L. Hörmander: Hypoelliptic second order differential equations, Acta Math. 119 ( 1967), 147-171.
    • (1967) Acta Math. , vol.119 , pp. 147-171
    • Hörmander, L.1
  • 6
    • 0039217558 scopus 로고
    • The trace problem and the hardy operator for non-isotropic function spaces on the heisenberg group
    • I. Pesenson: The trace problem and the Hardy operator for non-isotropic function spaces on the Heisenberg group, Commun, in PDE 19 (1994), 665-676.
    • (1994) Commun, in PDE , vol.19 , pp. 665-676
    • Pesenson, I.1
  • 7
    • 0040497387 scopus 로고
    • Functions which are smooth along vector fields
    • I. Pesenson: Functions which are smooth along vector fields, Mat. Zametki 48 (1990), 95-104. Transl.: Notes of the Academy of Sciences of the USSR 48 (1990), 683-688.
    • (1990) Mat. Zametki , vol.48 , pp. 95-104
    • Pesenson, I.1
  • 9
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    • Hypoelliptic differential operators and nilpotent groups
    • L. Rothschild, E. Stein: Hypoelliptic differential operators and nilpotent groups, Acta. Math 137 (1976), 247-320.
    • (1976) Acta. Math , vol.137 , pp. 247-320
    • Rothschild, L.1    Stein, E.2
  • 10
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    • ∞ functions defined in half-space
    • ∞ functions defined in half-space, Proc. AMS 15 (1964), 625-626.
    • (1964) Proc. AMS , vol.15 , pp. 625-626
    • Seeley, R.1
  • 11
    • 0041091463 scopus 로고
    • Sobolev's spaces of fractional order and their application to boundary problems for pde
    • L. Slobodeckii: Sobolev's spaces of fractional order and their application to boundary problems for pde, Dokl. Akad. Nauk SSSR 118 (1958), 243-246.
    • (1958) Dokl. Akad. Nauk SSSR , vol.118 , pp. 243-246
    • Slobodeckii, L.1
  • 12
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    • The characterization of functions arising as potentials, I
    • E. Stein: The characterization of functions arising as potentials, I, Bull. AMS 67 (1961), 102-104; II, 68 (1962), 577-582.
    • (1961) Bull. AMS , vol.67 , pp. 102-104
    • Stein, E.1
  • 13
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    • The characterization of functions arising as potentials, II
    • E. Stein: The characterization of functions arising as potentials, I, Bull. AMS 67 (1961), 102-104; II, 68 (1962), 577-582.
    • (1962) Bull. AMS , vol.68 , pp. 577-582

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