Results 71 to 80 of about 5,551 (211)

Compact matrix operators on a new sequence space related to ℓ p $\ell_{p}$ spaces

open access: yesJournal of Inequalities and Applications, 2016
In this paper, we derive some identities or estimates for the operator norms and the Hausdorff measures of noncompactness of certain matrix operators on the sequence space ℓ p ( r , s , t ; B ( m ) ) $\ell_{p}(r,s,t;B^{(m)})$ which is related to ℓ p ...
Abdullah Alotaibi   +2 more
doaj   +1 more source

The Weighted Lp and BMO Estimates for Fractional Hausdorff Operators on the Heisenberg Group

open access: yesJournal of Function Spaces, 2020
In the setting of Heisenberg group, we characterize those functions Φ, for which the fractional Hausdorff operators TΦ,β and Hausdorff operators TΦ, T˜Φ are bounded on Lp spaces with power weights, BMO space, and Hardy spaces, respectively.
Guohua Zhang, Qianqian Li, Qingyan Wu
doaj   +1 more source

Decompositions of Besov–Hausdorff and Triebel–Lizorkin–Hausdorff spaces and their applications

open access: yesJournal of Mathematical Analysis and Applications, 2010
30 pages, J. Math. Anal. Appl. (to appear).
Yuan, Wen   +2 more
openaire   +3 more sources

A Multi‐Sequence Adversarial Fusion U‐Net for Brain Tumor Image Segmentation

open access: yesIEEJ Transactions on Electrical and Electronic Engineering, EarlyView.
In the field of brain tumor image segmentation, in order to avoid the impact of insufficient number of training samples, the method of fusing multi‐modal MRI information before segmentation is widely used. However, when fusing different modal features, existing methods only add fixed weights to the features of each modality, resulting in insufficient ...
Jie Wang, Jinglu Hu
wiley   +1 more source

Boundedness of Multidimensional Dunkl-Hausdorff Operators

open access: yesJournal of Function Spaces, 2020
In the present paper, we introduce the multidimensional Dunkl-Hausdorff operator ℋκ and we give simple sufficient conditions so that these operators be bounded on the weighted lebesgue spaces Lκpℝn and in the Hardy space Hκ1ℝn associated with the Dunkl ...
Radouan Daher, Faouaz Saadi
doaj   +1 more source

Sequentially Hausdorff and full sequentially Hausdorff spaces

open access: yesCommunications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2019
Summary: In this paper, we define the notions of sequentially Hausdorff Space and full sequentially Hausdorff space. Also we give the relationships between these notions and Hausdorffness.
Akız, Hürmet Fulya, Koçak, Lokman
openaire   +5 more sources

Net-Compact Hausdorff Topologies and Continuous Multi-Utility Representations for Closed Preorders

open access: yesAxioms
In this paper, we deal with continuous multi-utility representations for closed preorders. We introduce the definition of a net-compact topology, which generalizes the concept of a sequentially compact topology.
Gianni Bosi   +2 more
doaj   +1 more source

On an algebraic version of Tamano’s theorem

open access: yesApplied General Topology, 2009
Let X be a non-paracompact subspace of a linearly ordered topological space. We prove, in particular, that if a Hausdorff topological group G contains closed copies of X and a Hausdorff compactification bX of X then G is not normal.
Raushan Z. Buzyakova
doaj   +1 more source

The geometric realization of a simplicial Hausdorff space is Hausdorff [PDF]

open access: yesTopology and its Applications, 2013
It is shown that the thin geometric realization of a simplicial Hausdorff space is Hausdorff. This proves a famous claim by Graeme Segal that the thin geometric realisation of a simplicial k-space is a k-space.
openaire   +2 more sources

Fractal dimensions in the Gromov–Hausdorff space

open access: yesBulletin of the Polish Academy of Sciences Mathematics, 2023
In this paper, we first show that for all four non-negative real numbers, there exists a Cantor ultrametric space whose Hausdorff dimension, packing dimension, upper box dimension, and Assouad dimension are equal to given four numbers, respectively. Next, by constructing topological embeddings of an arbitrary compact metrizable space into the Gromov ...
openaire   +2 more sources

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