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Volumn 5, Issue 4, 1996, Pages 403-415

Sobolev spaces on an arbitrary metric space

Author keywords

Generalized Sobolev spaces; Imbedding theorems; Metric space; Muckenhoupt weights

Indexed keywords


EID: 0001587943     PISSN: 09262601     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (595)

References (13)
  • 1
    • 34250138457 scopus 로고
    • Semicontinuity problems in the calculus of variations
    • Acerbi, E. and Fusco, N.: 'Semicontinuity problems in the calculus of variations', Arch. Rational Mech. Anal. 86 (1984), 125-145.
    • (1984) Arch. Rational Mech. Anal. , vol.86 , pp. 125-145
    • Acerbi, E.1    Fusco, N.2
  • 2
    • 0002057116 scopus 로고
    • Sur la convergence forte dans le champ LP
    • Banach, S. and Saks, S.: 'Sur la convergence forte dans le champ LP', Studia Math. 2 (1930), 51-57.
    • (1930) Studia Math. , vol.2 , pp. 51-57
    • Banach, S.1    Saks, S.2
  • 3
    • 0001363761 scopus 로고
    • The approximation problem for Sobolev maps between two manifolds
    • Bethuel, F.: 'The approximation problem for Sobolev maps between two manifolds', Acta Math. 167 (1991), 153-206.
    • (1991) Acta Math. , vol.167 , pp. 153-206
    • Bethuel, F.1
  • 4
    • 77951470972 scopus 로고
    • Remarks on some geometric properties of Sobolev mappings
    • ed. Shozo Koshi, World Scientific
    • Bojarski, B.: 'Remarks on some geometric properties of Sobolev mappings', in Functional Analysis & Related Topics, ed. Shozo Koshi, World Scientific, 1991.
    • (1991) Functional Analysis & Related Topics
    • Bojarski, B.1
  • 5
    • 0003115862 scopus 로고
    • Pointwise inequalities for Sobolev functions and some applications
    • Bojarski, B. and Hajłasz, P.: 'Pointwise inequalities for Sobolev functions and some applications', Studia Math. 106 (1993), 77-92.
    • (1993) Studia Math. , vol.106 , pp. 77-92
    • Bojarski, B.1    Hajłasz, P.2
  • 6
    • 27144516419 scopus 로고    scopus 로고
    • Bojarski, B. and Hajłasz, P.: Second part of [5] (in preparation)
    • Bojarski, B. and Hajłasz, P.: Second part of [5] (in preparation).
  • 7
    • 0013077961 scopus 로고
    • Estimates for singular integral operators in terms of maximal functions
    • Calderón, A.P.: 'Estimates for singular integral operators in terms of maximal functions', Studia Math. 44 (1972), 563-582.
    • (1972) Studia Math. , vol.44 , pp. 563-582
    • Calderón, A.P.1
  • 8
    • 0001519449 scopus 로고
    • Local properties of solutions of elliptic partial differential equations
    • Calderón, A.P. and Zygmund, A.: 'Local properties of solutions of elliptic partial differential equations', Studia Math. 20 (1961), 171-225.
    • (1961) Studia Math. , vol.20 , pp. 171-225
    • Calderón, A.P.1    Zygmund, A.2
  • 9
    • 84968499149 scopus 로고
    • A note on weighted Sobolev inequality
    • Chiarenza, F. and Frasca, M.: 'A note on weighted Sobolev inequality', Proc. Amer. Math. Soc. 93 (1985), 703-704.
    • (1985) Proc. Amer. Math. Soc. , vol.93 , pp. 703-704
    • Chiarenza, F.1    Frasca, M.2
  • 11
    • 0003035995 scopus 로고
    • The local regularity of solutions of degenerate elliptic equations
    • Fabes, E., Kenig, C. and Serapioni R.: The local regularity of solutions of degenerate elliptic equations', Comm. Partial Diff. Equations 7 (1982), 77-116.
    • (1982) Comm. Partial Diff. Equations , vol.7 , pp. 77-116
    • Fabes, E.1    Kenig, C.2    Serapioni, R.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.