The jump problem for the critical Besov space

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35) Boundary value problems in the complex plane (30E25) Quasiconformal mappings in the complex plane (30C62)

Cites Work

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Integration over non-rectifiable curves and Riemann boundary value problems
Harmonic reflection in quasicircles and well-posedness of a Riemann-Hilbert problem on quasidisks
Continuité sur les espaces de Besov des opérateurs définis par des intégrales singulières
The boundary correspondence under quasiconformal mappings
On solvability of the jump problem
Isomorphisms of the disc algebra and inverse Faber sets
Teichmüller theory and the universal period mapping via quantum calculus and the $H^{1/2}$ space on the circle
The Faber operator and its boundedness
Plemelj-Sokhotski isomorphism for quasicircles in Riemann surfaces and the Schiffer operators
A note on Faber operator
Cauchy integral and singular integral operator over closed Jordan curves
Lacunary power series and univalent functions
On Faber polynomials and Faber expansions
Chord-arc curves and the Beurling transform
On the BMO boundedness of the Cauchy integral on a chord-arc curve
Well-posedness of a Riemann–Hilbert problem on d-regular quasidisks
Opérateurs intégraux singuliers sur certaines courbes du plan complexe
Atomic decompositions of function spaces with Muckenhoupt weights, and some relation to fractal analysis
Estimates for ( &   8706;- μ∂) -1 and Calderon's Theorem on the Cauchy Integral
Quasiconformal Mappings and Chord-Arc Curves
Weighted norm inequalities for maximal functions and singular integrals
Applications of the Cauchy integral on Lipschitz curves
T1 Theorems for Besov and Triebel-Lizorkin Spaces
Littlewood-Paley theory on spaces of homogeneous type and the classical function spaces
Changes of variable in Besov spaces II
Weil-Petersson Teichmüller space
Hardy spaces, $A_\infty$, and singular integrals on chord-arc domains
Modern Fourier Analysis
SOLUTIONS OF THE DIVERGENCE AND ANALYSIS OF THE STOKES EQUATIONS IN PLANAR HÖLDER-α DOMAINS
Boundary problems in the theory of univalent functions
The Riemann boundary value problem on non-rectifiable curves and related questions
Hausdorff Dimension and Quasiconformal Mappings
Integrable Teichmüller space

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