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Let $M^7$ be a smooth manifold equipped with a $G_2$-structure $\phi$, and $Y^3$ be an closed compact $\phi$-associative submanifold. In \cite{McL}, R. McLean proved that the moduli space $\bm_{Y,\ph...
Let M, N be Orlicz functions, and let D(\ellM , \ellN ) be the space of all diagonal operators (that is multipliers) acting between the Orlicz sequence spaces \ellM and \ellN. We prove that the space ...
An Algorithm to Recognise Small Seifert Fiber Spaces
small Seifert fibered space recognition algorithm Heegaard splitting almost normal surface
2010/2/26
The homeomorphism problem is, given two compact n-manifolds, is there an algorithm to decide if the manifolds are homeomorphic or not. The homeomorphism problem has been solved for many important clas...
Atomic Decompositions for Weak Hardy Spaces w${\mathcal{Q}}_p$ and w${\mathcal{D}}_p$
Martingale Weak Hardy space Atomic decomposition
2010/1/22
In this paper some necessary and sufficient conditions for new forms of atomic decompositions of weak martingale Hardy spaces w and w are obtained.
Local Fourier Bases and Ultramodulation Spaces
local Fourier Ultramodulation Spaces ultramodulation spaces
2010/2/25
It was proved that local Fourier bases are unconditional bases for modulation spaces Mp.qw. We prove that the local Fourier bases are unconditional bases for ultramodulation spaces Mpwg=Mp.pwg, where ...
Basic Properties and Multipliers Space on L1(G)\cap L(p,q)(G) Spaces
Basic Properties Multipliers Space L1(G)\cap L(p,q)(G) Spaces
2010/2/25
Let G be locally compact Abelian group with Haar measure. First is discussed some properties of L1(G) \cap L(p,q)(G) spaces. Then is mentioned the multipliers space on L1(G) \cap L(p,q) (G) spaces.
In this study we observe that the Köthe space Klp(A) is nuclear if it is isomorphic to a complemented subspace of Klq(B) for 1\leq p < q < \infty and p < 2.
On Cartan Spaces with (a, b)-metric
Cartan space (a,b)-metric h-metrical d-connection Conformally flat
2010/2/26
É. Cartan [2] has originally introduced a Cartan space, which is considered as dual of Finsler space. H. Rund [10], F. Brickell [1] and others studied the relation between these two spaces. The...
Connectedness in Isotonic Spaces
generalized closure spaces isotonic spaces neighborhood spaces connectedness Z-connectedness strong connectedness
2010/2/26
An isotonic space (X,cl) is a set X with isotonic operator cl:P(X) \to P(X) which satisfies cl(\emptyset) = \emptyset and cl(A)\subseteq cl(B) whenever A\subseteq B\subseteq X. Many properties which h...
On Local Hörmander-Beurling Spaces
Hö rmander space Hö rmander-Beurling space Beurling ultradistributions local space Fourier-Laplace transform
2010/2/26
In this paper we aim to extend a result of Hörmander's, that \mathcal{B}p,kloc(W)\subset\mathcal{C}m(W) if \frac{(1+\left|\cdot\right|)m}{k}\in Lp\prime, to the setting of vector valued local H&o...
T2-OBJECTS IN CATEGORIES OF FILTER AND LOCAL FILTER CONVERGENCE SPACES
T2-OBJECTS FILTER LOCAL FILTER CONVERGENCE SPACES
2010/3/17
There are various generalizations of the usual T2 (Hausdorff) axiom of topology to an arbitrary topological category defined in [1]. In this paper, four more new generalizations of Hausdorff spaces ar...