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讨论了具有粗糙核的多线性奇异积分算子交换子TmΩ,b(f)(x)的CBMO估计，其中核函数Ω∈Ls(Sn－1)(1
Generalized quasi-Einstein manifolds with harmonic Weyl tensor
Generalized quasi-Einstein harmonic Weyl tensor
2011/2/28
In this paper we introduce the notion of generalized quasi–Einstein manifold, which
generalizes the concepts of Ricci soliton, Ricci almost soliton and quasi–Einstein manifolds. We prove that a compl...
Hölder Continuity of Harmonic Quasiconformal Mappings
Quasiconformal maps harmonic mappings H¨older continuity
2011/1/21
We prove that for harmonic quasiconformal mappings -H¨older continuity on the boundary implies -H¨older continuity of the map itself. Our result holds for the class of uniformly perfect bounded doma...
Singular integrals on self-similar sets and removability for Lipschitz harmonic functions in Heisenberg groups
Singular integrals self-similar sets removability Heisenberg group
2011/1/20
In this paper we study singular integrals on small (that is, measure zero and lower than full dimensional) subsets of metric groups. The main examples of the groups we have in mind are Euclidean space...
It is proved that the fundamental group of the space of harmonic polynomials of degree n(n ≥ 2), with the same Gaussian curvature is not trivial. Furthermore, we give an example of topologically noneq...
Maximal subextensions of plurisubharmonic functions
Maximal subextensions plurisubharmonic functions
2010/12/10
In this paper we are concerned with the problem of local and global subextensions of (quasi-)plurisubharmonic functions from a ”regular”subdomain of a compact K¨ahler manifold. We prove that a precise...
Factorization and dilation problems for completely positive maps on von Neumann algebras
Factorization dilation problems for completely positive maps von Neumann algebras
2010/11/29
We study factorization and dilation properties of Markov maps between von Neumann algebras
equipped with normal faithful states, i.e., completely positive unital maps which preserve the
given states...
Analytical three-dimensional bright solitons and soliton-pairs in Bose-Einstein condensates with time-space modulation
Analytical three-dimensional bright solitons soliton-pairs in Bose-Einstein condensates time-space modulation
2010/12/15
We provide analytical three-dimensional bright multi-soliton solutions to the (3+1)-dimensional
Gross-Pitaevskii (GP) equation with time and space-dependent potential, time-dependent nonlinearity,and...
Empirical processes, typical sequences and coordinated actions in standard Borel spaces
Terms—Coordination via communication empirical processes Glivenko–Cantelli classes
2010/11/26
This paper proposes a new notion of typical sequences on a wide class of abstract alphabets (so-called standard Borel spaces), which is based on approximations of memoryless sources by empirical distr...
Image Inpainting Based On Coherence Transport With Adapted Distance Functions
Image Processing Image Inpainting Distance Functions
2010/11/26
We discuss an extension of our method Image Inpainting Based on Coherence Transport. For the
latter method the pixels of the inpainting domain have to be serialized into an ordered list. Up till now,...
On the Hadamard type inequalities involving product of two convex functions on the co-ordinates
Convex, s− convex Co-ordinates Product of functions Hadamard’s inequality
2010/12/9
In this paper some Hadamard-type inequalities for product of convex funcitons of 2−variables on the co-ordinates are given.
Reduced, tame and exotic fusion systems
Classifying space p-completion finite groups fusion
2010/11/29
We define here two new classes of saturated fusion systems, reduced fusion systems and tame fusion systems. These are motivated by our attempts to better understand and search for exotic fusion system...
The Möbius function of partitions with restricted block size
Euler and tangent numbers descent set statistic set partition lattice
2010/12/9
The purpose of this paper is to compute the Mobius function of lters in the partitio lattice
formed by restricting to partitions by type. The Mobius function is determined in terms of the
descent...
We study pairs (,G), where is a ‘Buekenhout–Tits’ pregeometry with all rank 2 truncations connected, and G 6 Aut is transitive on the set of elements of each type. The ...
It is well-known that duality in the Monge-Kantorovich transport problem holds true provided that the cost function c : X×Y ! [0,1] is lower semi-continuous or finitely valued, but it may fail otherwi...