Add to ORKGWe de\u85ne a family of conjugate Poisson transforms of distributions T in the optimal space of weighted distributions w1:::wnD0L1, by means of the S 0-convolution. We prove that their boundary values in the topology of this space of distributions are of the form H (T), where H is the n-dimensional Hilbert transform of T
AbstractWe study boundary value problems of the form -Δu=f on Ω and Bu=g on the boundary ∂Ω, with ei...
AbstractLet b ϵ BMO, ƒ ϵ Lp, 1 < p < ∞, H′b denote the dual Hilbert transform of b defined on BMO ac...
We give characterizations of Besov and Triebel-Lizorkin spaces $B_{pq}^{s}(Ω)$ and $F_{pq}^s(Ω)$ in ...
We obtain harmonic extensions to the upper half-space of distri-butions in the weighted spaces wn+1D...
In this paper, we characterize the class of distributions on a homogeneous Lie group $\mathfrak N$ t...
AbstractWe characterize those tempered distributions which are S′-convolvable with a given class of ...
summary:We give sufficient conditions for the support of the Fourier transform of a certain class of...
AbstractLet H′ be either the space K′1 of distributions of exponential growth or the space S′ of tem...
For the Hilbert transform f̃(x) = 1 pi R f(t) x − tdt a new proof of the convolution formula is give...
Let ũ denote the conjugate Poisson integral of a function $f ∈ L^{p}(ℝ)$. We give conditions on a re...
AbstractSuppose f ϵ D′ and αv is a partition of unity on R, subordinated to the family of intervals ...
AbstractSubclasses Uβ(E), −2 < β ≤ −1, of the Lévy class L of self-decomposable measures on a Banach...
AbstractIn this paper, we prove a representation theorem for the usual distributional Fourier transf...
In the class of distributions of slow (moderate) growth we consider a class of equations with operat...
AbstractWe study boundary value problems for convolution operators in bounded subregions Ω of RN. In...
AbstractWe study boundary value problems of the form -Δu=f on Ω and Bu=g on the boundary ∂Ω, with ei...
AbstractLet b ϵ BMO, ƒ ϵ Lp, 1 < p < ∞, H′b denote the dual Hilbert transform of b defined on BMO ac...
We give characterizations of Besov and Triebel-Lizorkin spaces $B_{pq}^{s}(Ω)$ and $F_{pq}^s(Ω)$ in ...
We obtain harmonic extensions to the upper half-space of distri-butions in the weighted spaces wn+1D...
In this paper, we characterize the class of distributions on a homogeneous Lie group $\mathfrak N$ t...
AbstractWe characterize those tempered distributions which are S′-convolvable with a given class of ...
summary:We give sufficient conditions for the support of the Fourier transform of a certain class of...
AbstractLet H′ be either the space K′1 of distributions of exponential growth or the space S′ of tem...
For the Hilbert transform f̃(x) = 1 pi R f(t) x − tdt a new proof of the convolution formula is give...
Let ũ denote the conjugate Poisson integral of a function $f ∈ L^{p}(ℝ)$. We give conditions on a re...
AbstractSuppose f ϵ D′ and αv is a partition of unity on R, subordinated to the family of intervals ...
AbstractSubclasses Uβ(E), −2 < β ≤ −1, of the Lévy class L of self-decomposable measures on a Banach...
AbstractIn this paper, we prove a representation theorem for the usual distributional Fourier transf...
In the class of distributions of slow (moderate) growth we consider a class of equations with operat...
AbstractWe study boundary value problems for convolution operators in bounded subregions Ω of RN. In...
AbstractWe study boundary value problems of the form -Δu=f on Ω and Bu=g on the boundary ∂Ω, with ei...
AbstractLet b ϵ BMO, ƒ ϵ Lp, 1 < p < ∞, H′b denote the dual Hilbert transform of b defined on BMO ac...
We give characterizations of Besov and Triebel-Lizorkin spaces $B_{pq}^{s}(Ω)$ and $F_{pq}^s(Ω)$ in ...