Results 41 to 50 of about 4,745,487 (60)

On the L p-boundedness of Calderón-Zygmund operators

Advanced Nonlinear Studies
The main result in this paper is that, for singular integral operators associated with standard kernels, local L 1-estimates imply global L p-estimates for every p ∈ (1, ∞).
Mitrea Dorina, Mitrea Marius
doaj   +1 more source

Boundedness and convergence for singular integrals of measures separated by Lipschitz graphs

, 2009
We shall consider the truncated singular integral operators T_{\mu, K}^{\epsilon}f(x)=\int_{\mathbb{R}^{n}\setminus B(x,\epsilon)}K(x-y)f(y)d\mu y and related maximal operators $T_{\mu,K}^{\ast}f(x)=\underset{\epsilon >0}{\sup}| T_{\mu,K}^{\epsilon}f(x)|$
Chousionis, Vasilis, Mattila, Pertti
core   +1 more source

Convolution estimates related to space curves

, 2011
Based on a uniform estimate of convolution operators with measures on a family of plane curves, we obtain optimal Lp -Lq boundedness of convolution operators with affine arclength measures supported on space curves satisfying a suitable condition.
Youngwoo Choi
semanticscholar   +1 more source

Weighted weak-type (1,1) inequalities for rough operators

, 1989
Let Q be homogeneous of degree 0, have mean value 0 on the circle, and belong to Lq(Sl), 1 O IYlI | c)(oflo5 1 do5, where @(a)l = sup | 0(px) K2(x')l dxl, O I~~~~~~~~~~xl=l Received by the editors October 3, 1988, and in revised form February 28, 1989 ...
S. Hofmann
semanticscholar   +1 more source

Solving weighted norm inequalities using the Rubio de Francia algorithm

, 1987
Given an operator T bounded on a weighted LP space, the factorization technique of Rubio de Francia forces strong conditions on the' weight. This algorithm is extended to two weight problems, and is shown to yield not just necessary but sufficient ...
S. Bloom
semanticscholar   +1 more source

A note on Calderón-Zygmund singular integral convolution operators

, 1987
HJT ( \ I W o o ...
J. Bruna, B. Korenblum
semanticscholar   +1 more source

$L^2$ bounds for a Kakeya type maximal operator in $\R^3$

, 2011
We prove that the maximal operator obtained by taking averages at scale 1 along $N$ arbitrary directions on the sphere, is bounded in $L^2(\R^3)$ by $N^{1/4}{\log N}$.
Demeter, Ciprian
core   +1 more source

A result about the Hilbert transform along curves

, 1990
Let G be a connected and simply connected, nilpotent Lie group and let ;': (-I, 1) G be a (connected) analytic curve such that ;'(0) = 0.
L. Saal
semanticscholar   +1 more source

The Carleson Embedding Theorem with matrix weights

, 2017
In this paper we prove the weighted martingale Carleson Embedding Theorem with matrix weights both in the domain and in the target space.Comment: 9 pages. To appear in IMRN.
Culiuc, Amalia, Treil, Sergei
core   +1 more source

Multi-frequency Calderon-Zygmund analysis and connexion to Bochner-Riesz multipliers [PDF]

, 2013
In this work, we describe several results exhibited during a talk at the El Escorial 2012 conference. We aim to pursue the development of a multi-frequency Calderon-Zygmund analysis introduced in [9].
Bernicot, Frederic
core   +2 more sources