The rate of convergence of truncated hypersingular integrals generated by the Poisson and metaharmonic semigroups

DOI10.1080/10652469.2014.940581zbMath1310.42007OpenAlexW2331569245MaRDI QIDQ2929833

Selim Çobanoğlu, Ilham A. Aliev

Publication date: 14 November 2014

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2014.940581

zbMATH Keywords

rate of convergencePoisson semigroupRiesz potentialBessel potentialhypersingular integralsmetaharmonic semigroup

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Related Items (5)

On the convergence of the Abel-Poisson means of multiple Fourier series ⋮ On the rate of $L_p$-convergence of Balakrishnan--Rubin-type hypersingular integrals associated to the Gauss-Weierstrass semigroup ⋮ On the non-tangential convergence of Poisson and modified Poisson semigroups at the smoothness points of \(L_p\)-functions ⋮ The convergence rate of truncated hypersingular integrals generated by the modified Poisson semigroup ⋮ The Rate of Convergence of Truncated Hypersingular Integrals Generated by the Generalized Poisson Semigroup

Cites Work

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• On the Gauss-Weierstrass summability of multiple trigonometric series at \(\mu\)-smoothness points
• On inversion of Bessel potentials associated with the Laplace-Bessel differential operator
• On the theory of harmonic functions of several variables
• Wavelet-like transforms for admissible semi-groups; inversion formulas for potentials and Radon transforms
• On a rate of convergence of truncated hypersingular integrals associated to Riesz and Bessel potentials

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