Generalized Poincaré-Bertrand formula on a hypersurface

DOI10.1016/j.acha.2008.12.001zbMath1201.44006OpenAlexW2004719263MaRDI QIDQ1026467

Shidong Jiang, Feng Bo Hang

Publication date: 25 June 2009

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.acha.2008.12.001

zbMATH Keywords

singular integralsRiesz transformsPoincaré-Bertrand formulasmooth compact hypersurfaces

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Integral equations with kernels of Cauchy type (45E05)

Related Items

Poincaré-Bertrand and Hilbert formulas for the Cauchy-Cimmino singular integrals ⋮ Integral formulas of the Hilbert, Poincaré-Bertrand, Schwarz and Poisson type for the \(\beta\)-analytic function theory ⋮ Some properties of the Clifford Cauchy type integrals associated to Helmholtz equation on a piecewise Lyapunov surfaces in \(\mathbb R^m\) ⋮ Some notes on the Poincaré-Bertrand formula ⋮ On the Hilbert formulas and of change of integration order for some singular integrals in the unit circle ⋮ Hilbert and Poincaré-Bertrand formulas in polyanalytic function theory involving higher order Lipschitz classes

Cites Work

• Poincaré-Bertrand formula for Martinelli-Bochner integral
• Second kind integral equations for the classical potential theory on open surfaces I: Analytical apparatus.
• The singular integral equation on a closed piecewise smooth manifold in \(\mathbb{C}^n\)
• The Poincaré-Bertrand formula for the Bochner-Martinelli integral
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