Discrete analogues of singular and maximal Radon transforms.
Discrete differential operators in multidimensional Haar wavelet spaces.
Discrete Hardy spaces
We study various characterizations of the Hardy spaces via the discrete Hilbert transform and via maximal and square functions. Finally, we present the equivalence with the classical atomic characterization of given by Coifman and Weiss in [CW]. Our proofs are based on some results concerning functions of exponential type.
Discrete Laguerre functions and equilibrium conditions.
Discrete orthogonality of Zernike functions.
Disjointness results for some classes of stable processes
We discuss the disjointness of two classes of stable stochastic processes: moving averages and Fourier transforms. Results on the incompatibility of these two representations date back to Urbanik. Here we extend various disjointness results to encompass larger classes of processes.
Dispersion Phenomena in Dunkl-Schrödinger Equation and Applications
2000 Mathematics Subject Classification: 35Q55,42B10.In this paper, we study the Schrödinger equation associated with the Dunkl operators, we study the dispersive phenomena and we prove the Strichartz estimates for this equation. Some applications are discussed.
Distinctness of spaces of Lorentz-Zygmund multipliers
We study the spaces of Lorentz-Zygmund multipliers on compact abelian groups and show that many of these spaces are distinct. This generalizes earlier work on the non-equality of spaces of Lorentz multipliers.
Distribution and rearrangement estimates of the maximal function and interpolation
There are given necessary and sufficient conditions on a measure dμ(x)=w(x)dx under which the key estimates for the distribution and rearrangement of the maximal function due to Riesz, Wiener, Herz and Stein are valid. As a consequence, we obtain the equivalence of the Riesz and Wiener inequalities which seems to be new even for the Lebesgue measure. Our main tools are estimates of the distribution of the averaging function f** and a modified version of the Calderón-Zygmund decomposition. Analogous...
Distribution function inequalities for the density of the area integral
We prove good- inequalities for the area integral, the nontangential maximal function, and the maximal density of the area integral. This answers a question raised by R. F. Gundy. We also prove a Kesten type law of the iterated logarithm for harmonic functions. Our Theorems 1 and 2 are for Lipschitz domains. However, all our results are new even in the case of .
Distributional boundary values and the tempered ultra-distributions
Distributional fractional powers of the Laplacean. Riesz potentials
For different reasons it is very useful to have at one’s disposal a duality formula for the fractional powers of the Laplacean, namely, , α ∈ ℂ, for ϕ belonging to a suitable function space and u to its topological dual. Unfortunately, this formula makes no sense in the classical spaces of distributions. For this reason we introduce a new space of distributions where the above formula can be established. Finally, we apply this distributional point of view on the fractional powers of the Laplacean...
Distribuzioni funtoriali in una variabile quasi periodiche
Divergence of general operators on sets of measure zero
We consider sequences of linear operators Uₙ with a localization property. It is proved that for any set E of measure zero there exists a set G for which diverges at each point x ∈ E. This result is a generalization of analogous theorems known for the Fourier sum operators with respect to different orthogonal systems.
Divergence of the Bochner-Riesz means in the weighted Hardy spaces
We costruct functions in () whose Fourier integral expansions are almost everywhere non-summable with respect to the Bochner-Riesz means of the critical order.
Divergent Cesàro means of Jacobi-Sobolev expansions.
Dos sistemas adicionales de polinomios relacionados con los polinomios de Pollaczek
Double Fourier Series with Coefficients O (n m) -1.
Double Sequence Spaces Definedby a Sequence of Modulus Functions over -normed Spaces
In the present paper we introduce some double sequence spaces defined by a sequence of modulus function over -normed spaces. We also make an effort to study some topological properties and inclusion relations between these spaces.