Results 11 to 20 of about 467 (33)
On a variant of Tartar's first commutation lemma [PDF]
arXiv, 2010 We prove a variant of Tartar's first commutation lemma involving multiplier operators with symbols not necessarily defined on a manifold of codimension one.
arxiv
A Cotlar Type Maximal Function Associated With Fourier Multipliers [PDF]
arXiv, 2019 We prove the $L^p$ boundedness of a maximal operator associated with a dyadic frequency decomposition of a Fourier multiplier, under a weak regularity assumption.
arxiv
Uniform estimates on paraproducts [PDF]
arXiv, 2001 We prove uniform $L^p$ estimates for a family of paraproducts and corresponding maximal operators.
arxiv
Averages over curves with torsion [PDF]
Mathematical Research Letters 5 (1998), 535-539, 1999 We establish $L^p$ Sobolev mapping properties for averages over certain curves in $\R^3$, which improve upon the estimates obtained by $L^2-L^\infty$ interpolation.
arxiv
Multilinear pseudo-differential operators with $S_{0,0}$ class symbols of limited smoothness [PDF]
arXiv, 2022 We consider the boundedness of the multilinear pseudo-differential operators with symbols in the multilinear H\"{o}rmander class $S_{0,0}$. The aim of this paper is to discuss smoothness conditions for symbols to assure the boundedness between local Hardy spaces.
arxiv
Extensions of Weak-Type Multipliers [PDF]
arXiv, 2002 In this paper we prove that if $\Lambda\in M_p(\mathbb R^N)$ and has compact support then $\Lambda$ is a weak summability kernel for $1
arxiv
Multi-parameter paraproducts [PDF]
arXiv, 2004 We prove that the classical Coifman-Meyer theorem holds on any polydisc $\T^d$ of arbitrary dimension $d\geq 1$.
arxiv
Riesz transform and Riesz potentials for Dunkl transform [PDF]
arXiv, 2004 Analogous of Riesz potentials and Riesz transforms are defined and studied for the Dunkl transform associated with a family of weighted functions that are invariant under a reflection group. The $L^p$ boundedness of these operators is established in certain cases.
arxiv
Time-global smoothing estimates for a class of dispersive equations with constant coefficients [PDF]
arXiv, 2005 This paper has been withdrawn by the author due to an error.
arxiv
A family of Sobolev Orthogonal Polynomials on the Unit Ball [PDF]
arXiv, 2005 A family of orthonormal polynomials on the unit ball $B^d$ of $\RR^d$ with respect to the inner product $$ < f,g > = \int_{B^d}\Delta[(1-\|x\|^2) f(x)] \Delta[(1-\|x\|) g(x)] dx, $$ where $\Delta$ is the Laplace operator, is constructed explicitly.
arxiv