EXTENSIONS OF H-LIPSCHITZIAN MAPPINGS WITH INFINITE-DIMENSIONAL RANGE

DOI10.1142/S0219025799000266zbMath1043.46508MaRDI QIDQ4810350

Vladimir I. Bogachev

Publication date: 3 September 2004

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

Mathematics Subject Classification ID

Gaussian processes (60G15) Measures and integration on abstract linear spaces (46G12) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Measure (Gaussian, cylindrical, etc.) and integrals (Feynman, path, Fresnel, etc.) on manifolds (46T12)

Cites Work

• The Brunn-Minkowski inequality in Gauss space
• Extremal properties of half-spaces for spherically invariant measures
• Differentiable measures and the Malliavin calculus
• Some remarks on Rademacher's theorem in infinite dimensions
• On nonlinear projections in Banach spaces
• Extension of range of functions
• A Lipschitz Condition Preserving Extension for a Vector Function