Sobolev multipliers
Sobolev orthogonal polynomials: Interpolation and approximation.
Sobolev-Morrey Type Inequality for Riesz Potentials, Associated with the Laplace-Bessel Differential Operator
2000 Mathematics Subject Classification: 42B20, 42B25, 42B35We consider the generalized shift operator, generated by the Laplace- Bessel differential operator [...] The Bn -maximal functions and the Bn - Riesz potentials, generated by the Laplace-Bessel differential operator ∆Bn are investigated. We study the Bn - Riesz potentials in the Bn - Morrey spaces and Bn - BMO spaces. An inequality of Sobolev - Morrey type is established for the Bn - Riesz potentials.* This paper has been partially supported...
Solution of some weight problems for the Riemann-Liouville and Weyl operators.
Solution of two-weight problems for integral transforms with positive kernels.
Solutions indéfiniment dérivables et solutions presque-périodiques d'une équation de convolution
Solutions of an ordinary differential equation as a class of Fourier kernels.
Solutions of Fractional Diffusion-Wave Equations in Terms of H-functions
MSC 2010: 35R11, 42A38, 26A33, 33E12The method of integral transforms based on joint application of a fractional generalization of the Fourier transform and the classical Laplace transform is utilized for solving Cauchy-type problems for the time-space fractional diffusion-wave equations expressed in terms of the Caputo time-fractional derivative and the Weyl space-fractional operator. The solutions obtained are in integral form whose kernels are Green functions expressed in terms of the Fox H-functions....
Solutions to Deconvolution Equations Using Nonperiodic Sampling.
Solving dual integral equations on Lebesgue spaces
We study dual integral equations associated with Hankel transforms, that is, dual integral equations of Titchmarsh’s type. We reformulate these equations giving a better description in terms of continuous operators on spaces, and we solve them in these spaces. The solution is given both as an operator described in terms of integrals and as a series which converges in the -norm and almost everywhere, where denotes the Bessel function of order ν. Finally, we study the uniqueness of the solution....
Solving singular convolution equations using the inverse fast Fourier transform
The inverse Fast Fourier Transform is a common procedure to solve a convolution equation provided the transfer function has no zeros on the unit circle. In our paper we generalize this method to the case of a singular convolution equation and prove that if the transfer function is a trigonometric polynomial with simple zeros on the unit circle, then this method can be extended.
Solving the axisymmetric inverse heat conduction problem by a wavelet dual least squares method.
Solving Theodorsen's Integral Equation for Conformai Maps with the Fast Fourier Transform and Various Nonlinear Iterative Methods.
Some absolutely effective product methods.
Some applications and numerical methods for orthogonal polynomials
Some approximation problems in -spaces of matrix-valued functions
Some Banach techniques in vector-valued Fourier analysis
Some class of polynomial hypergroups
We provide explicit formulas for linearizing coefficients for some class of orthogonal polynomials.
Some classical function systems in separable Orlicz spaces
The boundedness of (sub)sequences of partial Fourier and Fourier-Walsh sums in subspaces of separable Orlicz spaces is studied. The boundedness of the shift operator and Paley function with respect to the Haar system is also investigated. These results are applied to get the analogues of the classical theorems on basicness of the trigonometric and Walsh systems in nonreflexive separable Orlicz spaces.
Some classical operators on Lorentz space.