A new characterization of the Riesz potential spaces with the aid of a composite wavelet transform

DOI10.1016/j.jmaa.2010.07.009zbMath1201.31005OpenAlexW2074263745MaRDI QIDQ994327

Sinem Sezer, Ilham A. Aliev

Publication date: 17 September 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.07.009

zbMATH Keywords

wavelet transformfractional integralsRiesz potentials

Mathematics Subject Classification ID

Integral representations, integral operators, integral equations methods in higher dimensions (31B10)

Related Items (8)

A new wavelet-like transform associated with the Riesz-Bochner integral and relevant reproducing formula ⋮ On the approximation properties of bi-parametric potential-type integral operators ⋮ Some generalizations of Bessel and Flett potentials associated to the Laplace–Bessel differential operator ⋮ On the rate of $L_p$-convergence of Balakrishnan--Rubin-type hypersingular integrals associated to the Gauss-Weierstrass semigroup ⋮ A Balakrishnan-Rubin type hypersingular integral operator and inversion of Flett potentials ⋮ Riesz potential on the Heisenberg group ⋮ On a rate of convergence of truncated hypersingular integrals associated to Riesz and Bessel potentials ⋮ The convergence rate of truncated hypersingular integrals generated by the modified Poisson semigroup

Cites Work

• On the theory of harmonic functions of several variables
• Wavelet-like transforms for admissible semi-groups; inversion formulas for potentials and Radon transforms
• Bi-parametric potentials, relevant function spaces and wavelet-like transforms
• Parabolic wavelet transforms and Lebesgue spaces of parabolic potentials.
• Fractional integrals and wavelet transforms associated with Blaschke-Lévy representations on the sphere
• Intersection bodies and generalized cosine transforms
• Parabolic potentials and wavelet transforms with the generalized translation
• Пространства $L^{α}_{p,r} (R^{n})$ и гиперсингулярные интегралы
• ON SPACES OF RIESZ POTENTIALS
• Composite wavelet transforms: applications and perspectives
• The characterization of functions arising as potentials
• Temperatures, Riesz Potentials, and the Lipschitz Spaces of Herz
• Potential spaces on fractals
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A new characterization of the Riesz potential spaces with the aid of a composite wavelet transform