메뉴 건너뛰기




Volumn 280, Issue 1, 2003, Pages 91-101

A note on Hajłasz-Sobolev spaces on fractals

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0038286425     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-247X(03)00039-8     Document Type: Article
Times cited : (50)

References (18)
  • 1
    • 0002163683 scopus 로고    scopus 로고
    • Diffusions on fractals
    • Lecture Notes in Math., Vol. 1690, Springer
    • M.T. Barlow, Diffusions on fractals, in: Lectures on Probability Theory and Statistics, in: Lecture Notes in Math., Vol. 1690, Springer, 1998, pp. 1-121.
    • (1998) Lectures on Probability Theory and Statistics , pp. 1-121
    • Barlow, M.T.1
  • 2
    • 0033465207 scopus 로고    scopus 로고
    • Brownian motion and harmonic analysis on Sierpínski carpets
    • M.T. Barlow, R.F. Bass, Brownian motion and harmonic analysis on Sierpínski carpets, Canad. J. Math. 51 (1999) 673-744.
    • (1999) Canad. J. Math. , vol.51 , pp. 673-744
    • Barlow, M.T.1    Bass, R.F.2
  • 4
    • 0002832308 scopus 로고
    • On a spectral analysis for the Sierpínski gasket
    • M. Fukushima, T. Shima, On a spectral analysis for the Sierpínski gasket, Potential Anal. 1 (1992) 1-35.
    • (1992) Potential Anal. , vol.1 , pp. 1-35
    • Fukushima, M.1    Shima, T.2
  • 5
    • 85031177755 scopus 로고    scopus 로고
    • Heat kernels on metric-measure spaces and an application to semilinear elliptic equations
    • to appear
    • A. Grigoryan, J. Hu, K.-S. Lau, Heat kernels on metric-measure spaces and an application to semilinear elliptic equations, Trans. Amer. Math. Soc., to appear.
    • Trans. Amer. Math. Soc.
    • Grigoryan, A.1    Hu, J.2    Lau, K.-S.3
  • 6
    • 0001587943 scopus 로고    scopus 로고
    • Sobolev spaces on an arbitrary metric space
    • P. Hajłasz, Sobolev spaces on an arbitrary metric space, Potential Anal. 5 (1996) 403-415.
    • (1996) Potential Anal. , vol.5 , pp. 403-415
    • Hajłasz, P.1
  • 8
    • 0030642447 scopus 로고    scopus 로고
    • Traces of Sobolev functions on fractal type sets and characterization of extension domains
    • P. Hajłasz, O. Martio, Traces of Sobolev functions on fractal type sets and characterization of extension domains, J. Funct. Anal. 143 (1997) 221-246.
    • (1997) J. Funct. Anal. , vol.143 , pp. 221-246
    • Hajłasz, P.1    Martio, O.2
  • 9
    • 84968517735 scopus 로고
    • On certain convolution inequalities
    • L.I. Hedberg, On certain convolution inequalities, Proc. Amer. Math. Soc. 36 (1972) 505-510.
    • (1972) Proc. Amer. Math. Soc. , vol.36 , pp. 505-510
    • Hedberg, L.I.1
  • 10
    • 0004120019 scopus 로고    scopus 로고
    • Lectures on Analysis on Metric Spaces
    • Springer
    • J. Heinonen, Lectures on Analysis on Metric Spaces, Springer, 2001.
    • (2001)
    • Heinonen, J.1
  • 11
    • 0000755710 scopus 로고    scopus 로고
    • Brownian motion on fractals and function spaces
    • A. Jonsson, Brownian motion on fractals and function spaces, Math. Z. 222 (1996) 495-504.
    • (1996) Math. Z. , vol.222 , pp. 495-504
    • Jonsson, A.1
  • 13
    • 0009065266 scopus 로고
    • In quest of fractal analysis
    • M. Yamaguti, M. Hata, J. Kigami (Eds.), American Mathematical Society, Providence
    • J. Kigami, In quest of fractal analysis, in: M. Yamaguti, M. Hata, J. Kigami (Eds.), Mathematics of Fractals, American Mathematical Society, Providence, 1993, pp. 53-73.
    • (1993) Mathematics of Fractals , pp. 53-73
    • Kigami, J.1
  • 14
    • 0031287696 scopus 로고    scopus 로고
    • Hardy's inequalities for Sobolev functions
    • J. Kinnunen, O. Martio, Hardy's inequalities for Sobolev functions, Math. Res. Lett. 4 (1997) 489-500.
    • (1997) Math. Res. Lett. , vol.4 , pp. 489-500
    • Kinnunen, J.1    Martio, O.2
  • 15
    • 0001533989 scopus 로고
    • Lipschitz functions on spaces of homogeneous type
    • R.A. Macìas, C. Segovia, Lipschitz functions on spaces of homogeneous type, Adv. Math. 33 (1979) 257-270.
    • (1979) Adv. Math. , vol.33 , pp. 257-270
    • Macìas, R.A.1    Segovia, C.2
  • 16
    • 0000514327 scopus 로고    scopus 로고
    • Lagrangian metrics on fractals
    • U. Mosco, Lagrangian metrics on fractals, Proc. Sympos. Appl. Math. 54 (1998) 301-323.
    • (1998) Proc. Sympos. Appl. Math. , vol.54 , pp. 301-323
    • Mosco, U.1
  • 17
    • 0000779137 scopus 로고    scopus 로고
    • Some function spaces related to the Brownian motion on simple nested fractals
    • K. Pietruska-Pałuba, Some function spaces related to the Brownian motion on simple nested fractals, Stochastics Stochastics Rep. 67 (1999) 267-285.
    • (1999) Stochastics Stochastics Rep. , vol.67 , pp. 267-285
    • Pietruska-Pałuba, K.1
  • 18
    • 0013295907 scopus 로고    scopus 로고
    • On function spaces related to fractional diffusion on d-sets
    • K. Pietruska-Pałuba, On function spaces related to fractional diffusion on d-sets, Stochastics Stochastics Rep. 70 (2000) 153-164.
    • (2000) Stochastics Stochastics Rep. , vol.70 , pp. 153-164
    • Pietruska-Pałuba, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.