A Best Covering Problem.
A Bochner theorem for Dunkl polynomials.
A Calderón-Zygmund estimate with applications to generalized Radon transforms and Fourier integral operators
We prove a Calderón-Zygmund type estimate which can be applied to sharpen known regularity results on spherical means, Fourier integral operators, generalized Radon transforms and singular oscillatory integrals.
A Cantor-Lebesgue theorem for double trigonometric series
A Carleson type condition for interpolating sequences in the Hardy spaces of the ball of .
A characterization of a two-weight norm inequality for maximal operators
A Characterization of Fourier Series of Stepanov Almost-Periodic Functions.
A characterization of Fourier transforms
The aim of this paper is to show that, in various situations, the only continuous linear (or not) map that transforms a convolution product into a pointwise product is a Fourier transform. We focus on the cyclic groups ℤ/nℤ, the integers ℤ, the torus 𝕋 and the real line. We also ask a related question for the twisted convolution.
A Characterization of Functions that Generate Wavelet and Related Expansion.
A characterization of in terms of atoms
A characterization of lines among Lipschitz graphs.
A characterization of localized Bessel potential spaces and applications to Jacobi and Henkel multipliers
A characterization of some weighted norm inequalities for the fractional maximal function
A new characterization is given for the pairs of weight functions v, w for which the fractional maximal function is a bounded operator from to when 1 < p < q < ∞ and X is a homogeneous space with a group structure. The case when X is n-dimensional Euclidean space is included.
A characterization of the four Chebyshev orthogonal families.
A characterization of the orthogonal polynomials.
A characterization of the Rogers -Hermite polynomials.
A class of Fourier multipliers on H¹(ℝ²)
An integral criterion for being an Fourier multiplier is proved. It is applied in particular to suitable regular functions which depend on the product of variables.
A class of Fourier series
A Class of Multidimensional Periodic Splines.
A class of pairs of weights related to the boundedness of the Fractional Integral Operator between and Lipschitz spaces
In [P] we characterize the pairs of weights for which the fractional integral operator of order from a weighted Lebesgue space into a suitable weighted and Lipschitz integral space is bounded. In this paper we consider other weighted Lipschitz integral spaces that contain those defined in [P], and we obtain results on pairs of weights related to the boundedness of acting from weighted Lebesgue spaces into these spaces. Also, we study the properties of those classes of weights and compare...