Global smoothness of quasiconformal mappings in the Triebel-Lizorkin scale

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) General theory of conformal mappings (30C35) Quasiconformal mappings in the complex plane (30C62)

Cites Work

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Regularity of \(\mathcal C^1\) and Lipschitz domains in terms of the Beurling transform
Smoothness of the Beurling transform in Lipschitz domains
Theory of Besov spaces
Univalent functions in Hardy, Bergman, Bloch and related spaces
Composition operators on Lizorkin-Triebel spaces
Beltrami equations with coefficient in the Sobolev space \(W^{1,p}\)
Extra cancellation of even Calderón-Zygmund operators and quasiconformal mappings
Mapping properties of nonlinear operators in spaces of Triebel-Lizorkin and Besov type
Quasiconformal mappings and extendability of functions in Sobolev spaces
Über die konforme Abbildung endlich- und unendlich-vielfach zusammenhängender symmetrischer Bereiche.
Beltrami equations in the plane and Sobolev regularity
Quasiconformal mappings and global integrability of the derivative
On Sobolev extension domains in \(\mathbb R^n\)
Sobolev regularity of quasiconformal mappings on domains
A T(P) theorem for Sobolev spaces on domains
Sobolev regularity of the Beurling transform on planar domains
A T(1) theorem for fractional Sobolev spaces on domains
Boundedness of rough oscillatory singular integral on Triebel--Lizorkin spaces
Global integrability of the derivative of a quasiconformal mapping
Beltrami equations with coefficient in the fractional Sobolev space \(W^{\theta , \frac 2{\theta }}\)
Beltrami equation with coefficient in Sobolev and Besov spaces
On Kellogg's theorem for quasiconformal mappings
Lipschitz classes and quasiconformla mappings
Mean Oscillation and Besov Spaces
On Restrictions and Extensions of the Besov and Triebel-Lizorkin Spaces with Respect to Lipschitz Domains
A property of univalent functions in A_{p}
Measuring Triebel–Lizorkin fractional smoothness on domains in terms of first‐order differences
Triebel-Lizorkin regularity and bi-Lipschitz maps: composition operator and inverse function regularity

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