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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
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...
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...
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...
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...
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...
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...
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...
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,...
In this paper some Hadamard-type inequalities for product of convex funcitons of 2−variables on the co-ordinates are given.
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 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...

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