@prefix dcat: <http://www.w3.org/ns/dcat#> .
@prefix dct: <http://purl.org/dc/terms/> .
@prefix foaf: <http://xmlns.com/foaf/0.1/> .
@prefix vcard: <http://www.w3.org/2006/vcard/ns#> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

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    dct:description """
              In univariate settings, we prove a strong reinforcement of the energy image density criterion for local Dirichlet forms admitting square field operators. This criterion enables us to redemonstrate classical results of Dirichlet forms theory \\cite{ancona1976continuité}. Besides, when $X=(X_1,\\dots,X_p)$ belongs to the $\\D$ domain of the Dirichlet form, and when its square field operator matrix $\\Gamma[X,{}^t X]$ is almost surely definite, we prove that $\\mathcal{L}_X$ is Rajchman. This is the first result in full generality in the direction of Bouleau-Hirsch conjecture. Moreover, in multivariate settings, we study the particular case of Sobolev spaces: we show that a convergence for the Sobolev norm $\\mathcal{W}^{1,p}(\\R^d,\\R^p)$ toward a non-degenerate limit entails convergence of push-forward measures in the total variation topology. \\cite{bouleau1986formes}.
            """ ;
    dct:identifier "hal-00691126" ;
    dct:issued "2026-05-20T20:19:38.887808"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-05-20T20:19:38.887813"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "Properties of convergence in Dirichlet structures" ;
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            vcard:fn "CCSD" ] ;
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    dcat:keyword "31c25-31c99-46e35-28a75-60h07",
        "dirichlet-forms",
        "distributional-jacobian",
        "energy-image-density",
        "infoeu-reposemanticspreprint",
        "malliavin-calculus",
        "mathmath-prmathematics-mathprobability-mathpr",
        "preprints-working-papers-",
        "sobolev-spaces" ;
    dcat:landingPage <https://hal.science/hal-00691126> .

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    dct:format "HTML" ;
    dct:issued "2026-05-20T20:19:38.913816"^^xsd:dateTime ;
    dct:modified "2026-05-20T20:19:38.864646"^^xsd:dateTime ;
    dct:title "Properties of convergence in Dirichlet structures" ;
    dcat:accessURL <https://hal.science/hal-00691126> .

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<https://hal.science/hal-00691126> a foaf:Document .