# Integration of HÃ¶lder forms and currents in snowflake spaces

## Related Articles

- Maps preserving common zeros between subspaces of vector-valued continuous functions. Dubarbie, Luis // Positivity;Dec2010, Vol. 14 Issue 4, p695
For metric spaces X and Y, normed spaces E and F, and certain subspaces A( X, E) and A( Y, F) of vector-valued continuous functions, we obtain a complete characterization of linear and bijective maps $${T:A(X,E)\rightarrow A(Y,F)}$$ preserving common zeros, that is, maps satisfying the...

- The Hahn-Banach Theorem on Arbitrary Groups. Jianfeng Huang; Yongjin Li // Kyungpook Mathematical Journal;2009, Vol. 49 Issue 2, p245
In this paper, one kind of subgroup in arbitrary group which similar to the linear subspace was constructed, and the generalization of the Hahn-Banach theorem on this kind of subgroup in arbitrary groups was obtained.

- On closeness of the sum of n subspaces of a Hilbert space. Feshchenko, I. // Ukrainian Mathematical Journal;Mar2012, Vol. 63 Issue 10, p1566
We give necessary and sufficient conditions for the sum of subspaces H,..., H, n â‰¥ 2, of a Hilbert space H to be a subspace and present various properties of the n-tuples of subspaces with closed sum.

- Split Malcev algebras. CALDERÓN MARTÍN, ANTONIO; FORERO PIULESTÁN, MANUEL; SÁNCHEZ DELGADO, JOSÉ // Proceedings of the Indian Academy of Sciences: Mathematical Scie;May2012, Vol. 122 Issue 2, p181
We study the structure of split Malcev algebras of arbitrary dimension over an algebraically closed field of characteristic zero. We show that any such algebras M is of the form $M={\mathcal U} +\sum_{j}I_{j}$ with ${\mathcal U}$ a subspace of the abelian Malcev subalgebra H and any I a well...

- Measures on the Splitting Subspaces of an Inner Product Space. Chetcuti, Emmanuel; Dvurečenskij, Anatolij // International Journal of Theoretical Physics;Feb2004, Vol. 43 Issue 2, p369
Let S be an inner product space and let E(S) (resp. F(S)) be the orthocomplemented poset of all splitting (resp. orthogonally closed) subspaces of S. In this article we study the possible states/charges that E(S) can admit. We first prove that when S is an incomplete inner product space such...

- Four-point characterizations of real inner product spaces. Freese, Raymond; Andalafte, Edward Z. // Journal of Geometry;2002, Vol. 75 Issue 1/2, p97
Generalized euclidean spaces have been characterized among metric spaces by the requirement that each member of certain classes of quadruples of points of the metric space be congruent to a quadruple of points of a euclidean space. The present paper strengthens earlier characterizations which...

- The Orlicz Space of Entire Sequences associated with Multiplier Sequences. SUBRAMANIAN, N.; MURUGESAN, C. // International Journal of Natural & Engineering Sciences;May2011, Vol. 5 Issue 2, p61
Let Î» = {Î»1, Î»2, â€¦} be a fixed sequence of non-zero complex numbers. Î“ M is the vector space of Orlicz space of entire sequences. Let Î“ M (Î») be the subset of Î“M for which {Î» kxk} âˆˆ Î“M. In this paper, we are concerned with some properties of Î“M...

- NONEXPANSIVE MAPPINGS AND EXPANSIVE MAPPINGS ON THE UNIT SPHERES OF SOME F-SPACES. Song-ni Tan // Bulletin of the Australian Mathematical Society;Aug2010, Vol. 82 Issue 1, p22
This paper gives a characterization of nonexpansive mappings from the unit sphere of â„“Î²(Î“) onto the unit sphere of â„“Î²(Î”) where 0 < Î² â‰¤ 1. By this result, we prove that such mappings are in fact isometries and give an affirmative answer to Tingley's problem in...

- BOUNDED SETS IN RANDOM n-NORMED LINEAR SPACE. Jebril, Iqbal H. // International Journal of Academic Research;Jul2010, Vol. 2 Issue 4, p151
The aim of this paper is to introduce the notion of bounded sets (certainly bounded, perhaps bounded, perhaps unbounded and certainly unbounded) in random n-normed linear space.