Triebel-Lizorkin regularity and bi-Lipschitz maps: composition operator and inverse function regularity

DOI10.1016/j.jat.2023.105985arXiv2007.10070OpenAlexW3043162462MaRDI QIDQ6187676

Martí Prats

Publication date: 31 January 2024

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.10070

zbMATH Keywords

composition operatorinverse mappingTriebel-Lizorkin

Mathematics Subject Classification ID

Harmonic analysis on Euclidean spaces (42-XX) Approximations and expansions (41-XX)

Cites Work

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• Composition operators acting on Besov spaces on the real line
• The weak inverse mapping theorem
• Integral inequalities of Poincaré and Wirtinger type
• Stability of Calderón's inverse conductivity problem in the plane for discontinuous conductivities
• Composition operators on Lizorkin-Triebel spaces
• Quasiconformal mappings and extendability of functions in Sobolev spaces
• Elliptic partial differential equations of second order
• On Sobolev extension domains in \(\mathbb R^n\)
• A T(P) theorem for Sobolev spaces on domains
• Sharp bounds for composition with quasiconformal mappings in Sobolev spaces
• A T(1) theorem for fractional Sobolev spaces on domains
• Degree-independent Sobolev extension on locally uniform domains
• On Restrictions and Extensions of the Besov and Triebel-Lizorkin Spaces with Respect to Lipschitz Domains
• Changes of Variable in Besov Spaces
• Changes of variable in Besov spaces II
• Composition of quasiconformal mappings and functions in Triebel‐Lizorkin spaces
• Measuring Triebel–Lizorkin fractional smoothness on domains in terms of first‐order differences
• A necessary condition for composition in Besov spaces

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