Results 21 to 30 of about 467 (33)

Generalizations of the Carleson-Hunt theorem I. The classical singularity case [PDF]

arXiv, 2005
In this article we prove L^p estimates for a general maximal operator, which extend both the classical Coifman-Meyer and Carleson-Hunt theorems in harmonic ...
arxiv  

Bilinear multipliers on Lorenzt spaces [PDF]

arXiv, 2007
We give one sufficient and two necessary conditions for boundedness between Lebesgue or Lorentz spaces of several classes of bilinear multiplier operators closely connected with the bilinear Hilbert transform.
arxiv  

Weak type estimates for spherical multipliers on noncompact symmetric spaces [PDF]

arXiv, 2008
In this paper we prove sharp weak type 1 estimates for spherical Fourier multipliers on symmetric spaces of the noncompact type. This complements earlier results of J.-Ph. Anker and A.D. Ionescu.
arxiv  

Relations between bilinear multipliers on $ \mathbb R^n, \mathbb{T}^n$ and $\mathbb{Z}^n$ [PDF]

arXiv, 2009
In this paper we prove the bilinear analogue of de Leeuw's result for periodic bilinear multipliers and some Jodeit type extension results for bilinear multipliers.
arxiv  

Riesz means on locally symmetric spaces [PDF]

arXiv, 2020
We prove that for a certain class of $n$ dimensional rank one locally symmetric spaces, if $f \in L^p$, $1\leq p \leq 2$, then the Riesz means of order $z$ of $f$ converge to $f$ almost everywhere, for $\operatorname{Re}z> (n-1)(1/p-1/2).$
arxiv  

On Schatten-von Neumann class properties of pseudo-differential operators. Boulkhemair's method [PDF]

arXiv, 2009
We investigate the Schatten-von Neumann properties of pseudo-differential operators using the method proposed by A. Boulkhemair in \cite{Boulkhemair 2}. The symbols are elements of the ideals $S_{w}^{p}$ of the Sj\"ostrand algebra $S_{w}$.
arxiv  

Singular Integrals Along N Directions in R^2 [PDF]

arXiv, 2010
We prove optimal bounds in L^2(R^2) for the maximal oper- ator obtained by taking a singular integral along N arbitrary directions in the plane. We also give a new proof for the optimal L^2 bound for the single scale Kakeya maximal function.
arxiv  

Fourier multipliers for non-symmetric Lévy processes [PDF]

arXiv, 2010
We study Fourier multipliers resulting from martingale transforms of general L\'evy processes.
arxiv  

Parabolic martingales and non-symmetric Fourier multipliers [PDF]

arXiv, 2012
We give a class of Fourier multipliers with non-symmetric symbols and explicit norm bounds on $L^p$ spaces by using the stochastic calculus of L\'evy processes and Burkholder-Wang estimates for differentially subordinate martingales.
arxiv  

$L^p$ estimates for a singular entangled quadrilinear form [PDF]

arXiv, 2015
We prove $L^p$ estimates for a continuous version of a dyadic quadrilinear form introduced by Kova\v{c} in [6]. This improves the range of exponents from the prequel [3] of the present paper.
arxiv