Singular integral operator involving higher order Lipschitz classes

DOI10.1007/s00009-017-0881-2zbMath1375.30045OpenAlexW2593665816MaRDI QIDQ2362972

Lianet De la Cruz Toranzo, Ricardo Abreu-Blaya, Juan Bory-Reyes

Publication date: 12 July 2017

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-017-0881-2

zbMATH Keywords

singular integral operatorLipschitz classespoly-analytic functionsbi-analytic functionsBitsadze kernel

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Generalizations of Bers and Vekua type (pseudoanalytic, (p)-analytic, etc.) (30G20)

Related Items (7)

Riemann problem for bianalytic functions on h-summable curves ⋮ Polyanalytic Hardy decomposition of higher order Lipschitz functions ⋮ A bimonogenic Cauchy transform on higher order Lipschitz classes ⋮ The Plemelj-Privalov theorem in polyanalytic function theory ⋮ On the plane Lamé-Navier system in fractal domains ⋮ Hilbert and Poincaré-Bertrand formulas in polyanalytic function theory involving higher order Lipschitz classes ⋮ On the Plemelj-Privalov theorem in Clifford analysis involving higher order Lipschitz classes

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