VSE knjižnice (vzajemna bibliografsko-kataložna baza podatkov COBIB.SI)
  • Bellman function and linear dimension-free estimates in a theorem of Bakry
    Carbonaro, Andrea ; Dragičević, Oliver
    By using an explicit Bellman function, we prove a bilinear embedding theorem for the Laplacian associated with a weighted Riemannian manifold ▫$(M,\mu_\varphi)$▫ having the Bakry-Emery curvature ... bounded from below. The embedding, acting on the cartesian product of ▫$L^p(M,\mu_\varphi)$▫ and ▫$L^q(T^ast M, \mu_\varphi)$▫, ▫$1/p + 1/q = 1$▫, involves estimates which are independent of the dimension of the manifold and linear in ▫$p$▫. As a consequence we obtain linear dimension-free estimates of the ▫$L^p$▫ norms of the corresponding shifted Riesz transform. All our proofs are analytic.
    Vir: Journal of functional analysis. - ISSN 0022-1236 (Vol. 265, iss. 7, 2013, str. 1085-1104)
    Vrsta gradiva - članek, sestavni del
    Leto - 2013
    Jezik - angleški
    COBISS.SI-ID - 16719705

    Povezava(-e):

    http://dx.doi.org/10.1016/j.jfa.2013.05.031

vir: Journal of functional analysis. - ISSN 0022-1236 (Vol. 265, iss. 7, 2013, str. 1085-1104)
loading ...
loading ...
loading ...

Vnos na polico