TIGHTNESS OF SOBOLEV CAPACITIES IN INFINITE DIMENSIONAL SPACES

DOI10.1142/S0219025799000242zbMath1043.46504MaRDI QIDQ4810348

O. V. Pugachev

Publication date: 3 September 2004

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Mathematics Subject Classification ID

Stochastic calculus of variations and the Malliavin calculus (60H07) Measures and integration on abstract linear spaces (46G12) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Potentials and capacities on other spaces (31C15) Spaces of differentiable or holomorphic functions on infinite-dimensional spaces (46E50) Distributions on infinite-dimensional spaces (46F25)

Related Items (2)

Surface measures generated by differentiable measures ⋮ Surface measures and tightness of \((r,p)\)-capacities on Poisson space

Cites Work

• Tightness of general \(C_{1,p}\) capacities on Banach space
• Differentiable measures and the Malliavin calculus
• Analytic properties of infinite-dimensional distributions
• The Gauss-Ostrogradskii formula in infinite-dimensional space

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