Bi-parametric potentials, relevant function spaces and wavelet-like transforms

DOI10.1007/s00020-009-1707-9zbMath1499.42155OpenAlexW2051165720MaRDI QIDQ1039550

Ilham A. Aliev

Publication date: 23 November 2009

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

Full work available at URL: https://doi.org/10.1007/s00020-009-1707-9

zbMATH Keywords

semigroupwavelet transformsfractional integralBessel potentialSobolev-type space

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fractional derivatives and integrals (26A33)

Related Items (12)

Square-like functions generated by the Laplace-Bessel differential operator ⋮ On the approximation properties of bi-parametric potential-type integral operators ⋮ On Flett potentials associated with the Laplace-Bessel differential operator ⋮ A generalization of parabolic Riesz and parabolic Bessel potentials ⋮ Some generalizations of Bessel and Flett potentials associated to the Laplace–Bessel differential operator ⋮ Square-like functions generated by a composite wavelet transform ⋮ 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 ⋮ On a rate of convergence of truncated hypersingular integrals associated to Riesz and Bessel potentials ⋮ A new characterization of the Riesz potential spaces with the aid of a composite wavelet transform ⋮ Parabolic-like wavelet transforms and relevant reproducing formulas ⋮ The convergence rate of truncated hypersingular integrals generated by the modified Poisson semigroup

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