The reconstruction theorem in Besov spaces

DOI10.1016/j.jfa.2017.07.002zbMath1380.46031arXiv1609.04543OpenAlexW2522889420WikidataQ56894093 ScholiaQ56894093MaRDI QIDQ2399767

Cyril Labbé, Martin Hairer

Publication date: 24 August 2017

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.04543

zbMATH Keywords

Besov spacesembedding theoremsSchauder estimatesregularity structure

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (19)

Iterated paraproducts and iterated commutator estimates in Besov spaces ⋮ Weyl law for the Anderson Hamiltonian on a two-dimensional manifold ⋮ Existence of densities for the dynamic \(\Phi^4_3\) model ⋮ A Littlewood-Paley description of modelled distributions ⋮ Stochastic quantization associated with the \(\exp (\boldsymbol{\Phi})_2\)-quantum field model driven by space-time white noise on the torus in the full \(L^1\)-regime ⋮ The reconstruction theorem in quasinormed spaces ⋮ Besov reconstruction ⋮ The BPHZ theorem for regularity structures via the spectral gap inequality ⋮ Differential equations driven by rough paths with jumps ⋮ New directions in rough path theory. Abstracts from the workshop held December 6--12, 2020 (online meeting) ⋮ On Sobolev rough paths ⋮ Hairer's reconstruction theorem without regularity structures ⋮ Characterization of nonlinear Besov spaces ⋮ Paracontrolled calculus and regularity structures I. ⋮ Wavelet analysis of the Besov regularity of Lévy white noise ⋮ Stochastic analysis with modelled distributions ⋮ The elliptic stochastic quantization of some two dimensional Euclidean QFTs ⋮ The continuous Anderson Hamiltonian in \(d \leq 3\) ⋮ Besov rough path analysis (with an appendix by Pavel Zorin-Kranich)

Cites Work

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• Malliavin calculus for regularity structures: the case of gPAM
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• Theory of function spaces
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• Controlling rough paths
• Stochastic analysis with modelled distributions
• PARACONTROLLED DISTRIBUTIONS AND SINGULAR PDES
• Orthonormal bases of compactly supported wavelets
• Equivalent Norms for Sobolev Spaces

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