Gaussian null sets and differentiability of Lipschitz map on Banach spaces
From MaRDI portal
Publication:1253420
DOI10.2140/pjm.1978.77.523zbMath0396.46041OpenAlexW2085771184MaRDI QIDQ1253420
Publication date: 1978
Published in: Pacific Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2140/pjm.1978.77.523
Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Derivatives of functions in infinite-dimensional spaces (46G05)
Related Items
A property of distributions of diffusion processes, Convex spaces: Classification by differentiable convex functions, Maximal Sobolev regularity for solutions of elliptic equations in infinite dimensional Banach spaces endowed with a weighted Gaussian measure, A characterisation of minimal subdifferential mappings of locally Lipschitz functions, Second order parabolic Hamilton-Jacobi-Bellman equations in Hilbert spaces and stochastic control: \(L^{2}_{\mu}\) approach, Essentially smooth Lipschitz functions, Differentiability of the Metric Projection in Hilbert Space, Differentiable and Lipschitzian mappings of Banach spaces, Maximum principles for infinite dimensional diffusion equations, Gaussian measures on linear spaces, A class of null sets associated with convex functions on Banach spaces, Absolutely continuous functions with values in a Banach space, Differentiability of the distance function and points of multi-valuedness of the metric projection in Banach space, Infinite dimensional generalized Jacobian: properties and calculus rules, Lipschitz continuity of probability kernels in the optimal transport framework, Differentiability of Lipschitz functions on Banach spaces, Sobolev regularity for a class of second order elliptic PDE's in infinite dimension, Fréchet differentiability of regular locally Lipschitzian functions, Not too well differentiable Lipschitz isomorphisms, Homogeneous measures and positive Alexandrov curvature, METRIC DIFFERENTIABILITY OF LIPSCHITZ MAPS, On fixed point property under Lipschitz and uniform embeddings, Generalized Jacobian for functions with infinite dimensional range and domain, Asymptotic behavior of strongly monotone time-periodic dynamical processes with symmetry, Second Order Differentiability of Convex Functions in Banach Spaces, On the numerical radius of Lipschitz operators in Banach spaces, An approach to vector subdifferentials, On the number of Mather measures of Lagrangian systems, Directional derivatives of Lipschitz functions, Differentiation of Real-Valued Functions and Continuity of Metric Projections, Strong uniqueness for SDEs in Hilbert spaces with nonregular drift, Metric projections and the differentiability of distance functions, Prevalence. An addendum to: “Prevalence: a translation-invariant ‘almost every’ on infinite-dimensional spaces” [Bull. Amer. Math. Soc. (N.S.) 27 (1992), no. 2, 217–238; MR1161274 (93k:28018)], A set of positive Gaussian measure with uniformly zero density everywhere., Sobolev spaces with respect to a weighted Gaussian measure in infinite dimensions, A note on non-support points, negligible sets, Gâteaux differentiability and Lipschitz embeddings, Aronszajn null and Gaussian null sets coincide, Haar negligibility of positive cones in Banach spaces, Measures on topological spaces, Differentiable measures and the Malliavin calculus, On the analyticity of the Fredholm determinant, Local convex analysis, Gateaux differentiable functions are somewhere Fréchet differentiable, Negligible sets in locally convex spaces, Regular economies and sets of measure zero in Banach spaces, Differentiability of quasiconvex functions on separable Banach spaces, Partial subdifferentials, derivates and Rademacher’s Theorem, Borel selectors for upper semi-continuous set-valued maps, Hypercontractivity of Solutions to Hamilton-Jacobi Equations
