On fractional regularity of distributions of functions in Gaussian random variables
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Egor D. Kosov
Abstract
We study fractional smoothness of measures on ℝk, that are images of a Gaussian measure under mappings from Gaussian Sobolev classes. As a consequence we obtain Nikolskii–Besov fractional regularity of these distributions under some weak nondegeneracy assumption.
Acknowledgements
The author is a Young Russian Mathematics award winner and would like to thank its sponsors and jury.
This research was supported by the Russian Science Foundation Grant 17-11-01058 at Lomonosov Moscow State University.
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Articles in the same Issue
- Frontmatter
- Editorial
- FCAA related news, events and books (FCAA–Volume 22–5–2019)
- Survey Paper
- A survey on fractional asymptotic expansion method: A forgotten theory
- Simplified fractional-order design of a MIMO robust controller
- Research Paper
- Embeddings of weighted generalized Morrey spaces into Lebesgue spaces on fractal sets
- Weyl integrals on weighted spaces
- On fractional regularity of distributions of functions in Gaussian random variables
- Compactness criteria for fractional integral operators
- Some results on the complete monotonicity of Mittag-Leffler functions of Le Roy type
- Method of upper and lower solutions for nonlinear Caputo fractional difference equations and its applications
- Numerical solution of fractional-order ordinary differential equations using the reformulated infinite state representation
- Supercritical fractional Kirchhoff type problems
- Identification for control of suspended objects in non-Newtonian fluids
- Algebraic fractional order differentiator based on the pseudo-state space representation
- Eigenvalues for a combination between local and nonlocal p-Laplacians
