Fractional integrals and weakly singular integral equations of the first kind in the \(n\)-dimensional ball
From MaRDI portal
Publication:1326639
DOI10.1007/BF03008419zbMath0828.45003MaRDI QIDQ1326639
Publication date: 11 January 1996
Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)
solvability conditionsRiesz potentialweakly singular integral equationsmultidimensional fractional integralsmultidimensional integral equations of the first kind with power kernel
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Fractional derivatives and integrals (26A33) Integral operators (47G10) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)
Related Items
Relations between one-sided ball potentials ⋮ Hypersingular Integrals of Marchaud Type and the Inversion Problem for Potentials ⋮ Computation of power law equilibrium measures on balls of arbitrary dimension ⋮ Unnamed Item ⋮ Inversion of exponential \(k\)-plane transforms ⋮ Research paper on a 3d-hypersingular equation of a problem for a crack ⋮ Sobolev space methods for the Laplace equation in the exterior of the disk ⋮ Inversion formulas for the spherical Radon transform and the generalized cosine transform.
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Extension of a theorem of P. Wolfe on singular integral equations
- On limits of sequences of operators
- One-dimensional representation, inversion, and certain properties of the Riesz potentials of radial functions
- The solution of a mildly singular integral equation of the first kind on a ball
- Inversion of parabolic potentials with \(L_ p\)-densities
- Inversion of potentials in \(R^ n\) by means of Gauss-Weierstrass integrals
- The solution of mildly singular integral equation of the first kind on a disk
- Differentiation of integrals in \(\mathbb{R}^n\)
- Contact problems of the theory of elasticity in the presence of wear
- Lipschitz spaces of distributions on the surface of unit sphere in Euclidean n-space
- Entire solutions of a class of differential equations of mixed type
- An integral equation encountered in the problem of a rigid foundation bearing on nonhomogeneous soil
- One-Sided Potentials, the SpacesLP,rα and the Inversion of Riesz and Bessel Potentials in the Half-Space
- An integral operator arising in potential theory
- Weighted Norm Inequalities for the Hardy Maximal Function
- Weighted Norm Inequalities for the Conjugate Function and Hilbert Transform
- [Russian Text Ignored.]