On the dual of weighted of the half-space
On the generalization of the Stein-Weiss theorem for the ergodic Hilbert transform
The Stein-Weiss theorem that the distribution function of the Hilbert transform of the characteristic function of E depends only on the measure of E is generalized to the ergodic Hilbert transform.
On the Generalized Associated Legendre Functions
Mathematics Subject Classification: 33C60, 33C20, 44A15This paper is devoted to an important case of Wright’s hypergeometric function 2Fτ,β1(a, b; c; z) = 2Fτ,β1(z), to studying its basic properties and to application of 2Fτ,β1(z) to the generalization of the associated Legendre functions.
On the integrability of the ergodic Hilbert transform for a class of functions with equal absolute values.
On the integral transformation associated with the product of gamma-functions.
On the Inversion of the Attenuated Radon Transform.
On the Lebedev transformation in Hardy's spaces.
On the Legendre and Laplace transformations
On the logarithmic potential defined for a Van Koch curve.
On the Mehler-Fock integral transform in Lp-spaces.
On the Meijer transformation.
On the polyconvolution with the weight function for the Fourier cosine, Fourier sine, and the Kontorovich-Lebedev integral transforms.
On the post-Widder transform.
On the Quasiasymptotic Behaviour of the Stieltjes Transformation of Distributions
On the Range of the Radon Transform and its Dual.
On the structure of Mellin distributions
On the two weights problem for the Hilbert transform.
In this paper, we prove sufficient conditions on pairs of weights (u,v) (scalar, matrix or operator valued) so that the Hilbert transform H f(x) = p.v. ∫ [f(y) / x - y] dy,is bounded from L2(u) to L2(v).
On the Uniform Convergence of Partial Dunkl Integrals in Besov-Dunkl Spaces
2000 Mathematics Subject Classification: 44A15, 44A35, 46E30In this paper we prove that the partial Dunkl integral ST(f) of f converges to f, as T → +∞ in L^∞(νµ) and we show that the Dunkl transform Fµ(f) of f is in L^1(νµ) when f belongs to a suitable Besov-Dunkl space. We also give sufficient conditions on a function f in order that the Dunkl transform Fµ(f) of f is in a L^p -space.* Supported by 04/UR/15-02.
On two new characterizations of Stieltjes transforms for distributions.
Operational calculi for Kontorovich-Lebedev and Mehler-Fock transforms on distributions with compact support.