On weighted inequalities for certain fractional integral operators.
On weighted inequalities for ergodic operators
On weighted inequalities for operators of potential type
In this paper, we discuss a class of weighted inequalities for operators of potential type on homogeneous spaces. We give sufficient conditions for the weak and strong type weighted inequalities sup_{λ>0} λ|{x ∈ X : |T(fdσ)(x)|>λ }|_{ω}^{1/q} ≤ C (∫_{X} |f|^{p}dσ)^{1/p} and (∫_{X} |T(fdσ)|^{q}dω )^{1/q} ≤ C (∫_X |f|^{p}dσ )^{1/p} in the cases of 0 < q < p ≤ ∞ and 1 ≤ q < p < ∞, respectively, where T is an operator of potential type, and ω and σ are Borel measures on the homogeneous...
On weighted inequalities for parametric Marcinkiewicz integrals.
On weighted integrability of functions defined by trigonometric series.
On weighted norm inequalities for the maximal function
On weighted norm inequalities for the Riesz transforms of functions with vanishing moments
On weighted norm integral inequality of g. h. Hardy's type
On weighted transplantation and multipliers for Laguerre expansions.
On weighted weak type norm inequalities for one-sided oscillatory singular integrals
We consider one-sided weight classes of Muckenhoupt type and study the weighted weak type (1,1) norm inequalities for a class of one-sided oscillatory singular integrals with smooth kernel.
On Y. Nievergelt's Inversion Formula for the Radon Transform
Mathematics Subject Classification 2010: 42C40, 44A12.In 1986 Y. Nievergelt suggested a simple formula which allows to reconstruct a continuous compactly supported function on the 2-plane from its Radon transform. This formula falls into the scope of the classical convolution-backprojection method. We show that elementary tools of fractional calculus can be used to obtain more general inversion formulas for the k-plane Radon transform of continuous and L^p functions on R^n for all 1 ≤ k < n....
On zeros of reciprocal polynomials of odd degree.
On zeros of regular orthogonal polynomials on the unit circle
A new approach to the study of zeros of orthogonal polynomials with respect to an Hermitian and regular linear functional is presented. Some results concerning zeros of kernels are given.
On Λ-bounded variation
Once more on the double Fourier-Haar series
Ondelettes, analyses multirésolutions et filtres miroirs en quadrature
Ondelettes, espaces d’interpolation et applications
Nous établissons des résultats d’interpolation non-standards entre les espaces de Besov et les espaces et , avec des applications aux lemmes de régularité en moyenne et aux inégalités de type Gagliardo-Nirenberg. La preuve de ces résultats utilise les décompositions dans des bases d’ondelettes.
Ondelettes et bases hilbertiennes.
Ondelettes et espaces de Besov.
Ondelettes et fonctions splines