Results 91 to 100 of about 2,920 (119)

Commutators and Sobolev spaces [PDF]

arXiv, 2005
This paper was withdrawn by arXiv admin because it plagiarizes "Chen, Wen Gu(PRC-BIAP); Lu, Shan Zhen(PRC-BJN) The commutators of fractional integrals on Besov spaces. Acta Math. Sin. (Engl. Ser.) 20 (2004), no. 3, 405--414."
arxiv  

A recursive bound for a Kakeya-type maximal operator [PDF]

arXiv, 2005
A (d,k) set is a subset of R^d containing a translate of every k-dimensional plane. Bourgain showed that for 2^{k-1}+k \geq d, every (d,k) set has positive Lebesgue measure. We give an L^p bound for the corresponding maximal operator.
arxiv  

Extensions of Hardy inequality [PDF]

arXiv, 2006
In this paper we prove sharp Hardy inequalities by using Maximal function theory. Our results improve and extend the well-known results of G.Hardy \cite{Ha04}, T.Cazenave \cite {Ca03}, J.-Y.Chemin\cite {Ch06} and T.Tao\cite {TT06}.
arxiv  

Mixed radial-angular integrabilities for Hausdorff type operators [PDF]

arXiv
This paper is devoted to studying some mixed radial-angular integrabilities for various types of Hausdorff operators and ...
arxiv  

Uniform estimates for some paraproducts [PDF]

arXiv, 2007
We establish $L^p\times L^q$ to $L^r$ estimates for some paraproducts, which arise in the study of the bilinear Hilbert transform along curves.
arxiv  

Variation bounds for spherical averages over restricted dilates [PDF]

arXiv
We study $L^p\rightarrow L^q(V^r_E)$ variation semi-norm estimates for the spherical averaging operator, where $E\subset [1,2]$.
arxiv  

Tensor, Sobolev, Multiplicative and Convolution Operators in the Bide - Side Grand Lebesque Spaces [PDF]

arXiv, 2008
In this paper we study the multiplicative, tensor, Sobolev's and convolution inequalities in certain Banach spaces, the so-called Bide - Side Grand Lebesque Spaces, and give examples to show their sharpness.
arxiv  

Two results related to elliptic and parabolic equations. Case of Morrey spaces [PDF]

arXiv
The paper presents a new short proof of one of Adams's theorems and a $t$-trace-class theorem for parabolic Morrey spaces.
arxiv  

Degrees of maps and multiscale geometry

Forum of Mathematics, Pi
We study the degree of an L-Lipschitz map between Riemannian manifolds, proving new upper bounds and constructing new examples. For instance, if $X_k$ is the connected sum of k copies of $\mathbb CP^2$ for $k \ge 4$ , then we prove ...
Aleksandr Berdnikov, Larry Guth, Fedor Manin   +2 more
doaj   +1 more source