scientific article; zbMATH DE number 1766624
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Publication:4538028
zbMath1016.28010MaRDI QIDQ4538028
Publication date: 11 July 2002
Full work available at URL: http://www.numdam.org/item?id=ASNSP_1997_4_25_3-4_683_0
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Hausdorff dimensionHausdorff measureDirichlet formPoincaré-type inequalitiesself-similar setvariational fractal
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Dirichlet forms (31C25) Methods involving semicontinuity and convergence; relaxation (49J45) Fractals (28A80) Inequalities involving derivatives and differential and integral operators (26D10)
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Cites Work
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- Sobolev inequalities on homogeneous spaces
- A Saint-Venant type principle for Dirichlet forms on discontinuous media
- Analyse harmonique non-commutative sur certains espaces homogènes. Etude de certaines intégrales singulières. (Non-commutative harmonic analysis on certain homogeneous spaces. Study of certain singular integrals.)
- A harmonic calculus on the Sierpinski spaces
- Brownian motion on nested fractals
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