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Volumn 21, Issue 2, 2004, Pages 193-208

Riesz potentials and Liouville operators on fractals

Author keywords

Dirichlet form; fractal Besov space; fractal d set; pseudodifferential operator; Riesz potential

Indexed keywords


EID: 9744251564     PISSN: 09262601     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:POTA.0000025381.84557.a9     Document Type: Article
Times cited : (15)

References (18)
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    • Barlow, M.T.1    Bass, R.F.2
  • 2
    • 51249193164 scopus 로고
    • On the theory of potentials in locally compact spaces
    • Fuglede, B.: 'On the theory of potentials in locally compact spaces', Acta Math. 103 (1960), 139-215.
    • (1960) Acta Math. , vol.103 , pp. 139-215
    • Fuglede, B.1
  • 7
    • 0141547644 scopus 로고    scopus 로고
    • Some remarks on stable-like jump processes on fractals
    • P. Grabner and W. Woess (eds), Trends in Math., Birkhäuser
    • Kumagai, T.: 'Some remarks on stable-like jump processes on fractals', in P. Grabner and W. Woess (eds), Fractals in Graz 2001, Trends in Math., Birkhäuser, 2002, pp. 185-196.
    • (2002) Fractals in Graz 2001 , pp. 185-196
    • Kumagai, T.1
  • 8
    • 0001496464 scopus 로고
    • Every superposition operator mapping one Sobolev space into another is continuous
    • Marcus, M. and Mizel, V.J.: 'Every superposition operator mapping one Sobolev space into another is continuous', J. Funct. Anal. 33 (1979), 217-229.
    • (1979) J. Funct. Anal. , vol.33 , pp. 217-229
    • Marcus, M.1    Mizel, V.J.2
  • 9
    • 0000514327 scopus 로고    scopus 로고
    • Langrangian metrics on fractals
    • Mosco, U.: 'Langrangian metrics on fractals', Proc. Symp. Appl. Math. 54 (1998), 301-323.
    • (1998) Proc. Symp. Appl. Math. , vol.54 , pp. 301-323
    • Mosco, U.1
  • 13
    • 0013185120 scopus 로고    scopus 로고
    • Symmetric α-stable processes on d-sets
    • Stós, A.: 'Symmetric α-stable processes on d-sets', Bull. Polish Acad. Sci. Math. 48 (2000), 237-245.
    • (2000) Bull. Polish Acad. Sci. Math. , vol.48 , pp. 237-245
    • Stós, A.1
  • 16
    • 0036345660 scopus 로고    scopus 로고
    • Spectral theory of Riesz potentials on quasi-metric spaces
    • Triebel, H. and Yang, D.: 'Spectral theory of Riesz potentials on quasi-metric spaces', Math. Nachr. 238 (2002), 160-184.
    • (2002) Math. Nachr. , vol.238 , pp. 160-184
    • Triebel, H.1    Yang, D.2
  • 18
    • 84883626463 scopus 로고    scopus 로고
    • Riesz potentials and Besov spaces on fractals
    • P. Grabner and W. Woess (eds), Trends in Math., Birkhäuser
    • Zähle, M.: 'Riesz potentials and Besov spaces on fractals', in P. Grabner and W. Woess (eds), Fractals in Graz 2001, Trends in Math., Birkhäuser, 2002, pp. 271-276.
    • (2002) Fractals in Graz 2001 , pp. 271-276
    • Zähle, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.