Boundedness of the Hilbert transformation in some weighted Besov type spaces

DOI10.1007/BF01202097zbMath0949.44002OpenAlexW2011940535MaRDI QIDQ1974671

Maria Grazia Russo, Uwe Luther

Publication date: 5 December 2000

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

Full work available at URL: https://doi.org/10.1007/bf01202097

zbMATH Keywords

Besov spaceboundednessHilbert transforms

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Special integral transforms (Legendre, Hilbert, etc.) (44A15)

Related Items (11)

Filtered integration rules for finite weighted Hilbert transforms ⋮ Nyström method for Cauchy singular integral equations with negative index ⋮ COMPACTNESS AND GENERALIZED APPROXIMATION SPACES ⋮ Quadrature methods for integro-differential equations of Prandtl's type in weighted spaces of continuous functions ⋮ A numerical method for solving systems of hypersingular integro-differential equations ⋮ Weighted moduli of smoothness of \(k\)-monotone functions and applications ⋮ A numerical method for the generalized airfoil equation based on the de la Vallée Poussin interpolation ⋮ The boundedness of the Cauchy singular integral operator in weighted Besov type spaces with uniform norms ⋮ Remarks on two integral operators and numerical methods for CSIE ⋮ On weighted approximation with Jacobi weights ⋮ Inverse closedness of approximation algebras

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
• Lagrange interpolation in weighted Besov spaces
• Carleson curves, Muckenhoupt weights, and Toeplitz operators
• Weighted polynomial inequalities with doubling and \(A_\infty\) weights
• Remarks on Besov Spaces and Best Polynomial Approximation
• Weighted Norm Inequalities for the Hardy Maximal Function
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