The boundedness of the Cauchy singular integral operator in weighted Besov type spaces with uniform norms

DOI10.1007/BF01203022zbMath1004.45011OpenAlexW2001060893MaRDI QIDQ5956228

Maria Grazia Russo, Woula Themistoclakis, Giuseppe Mastroianni

Publication date: 4 September 2002

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01203022

zbMATH Keywords

boundednessJacobi polynomialsBesov spacesinvertibilityCauchy singular integral equationsCauchy singular integral operatorde la Vallée Poussin operatorpolynomial approximation methods

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integral operators (45P05) Approximation by polynomials (41A10) Integral equations with kernels of Cauchy type (45E05)

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Cites Work

• Cauchy singular integral equations in spaces of continuous functions and methods for their numerical solution
• A fast algorithm for solving the generalized airfoil equation
• Boundedness of the Hilbert transformation in some weighted Besov type spaces
• Remarks on Besov Spaces and Best Polynomial Approximation
• Zur Theorie der Näherungsverfahren für singuläre Integralgleichungen auf Intervallen
• Weak type estimates for Cesàro sums of Jacobi polynomial series
• Weighted Norm Inequalities for the Hardy Maximal Function
• Weighted Norm Inequalities for the Conjugate Function and Hilbert Transform
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