Results 71 to 80 of about 5,551 (211)
Compact matrix operators on a new sequence space related to ℓ p $\ell_{p}$ spaces
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
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The Weighted Lp and BMO Estimates for Fractional Hausdorff Operators on the Heisenberg Group
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
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Decompositions of Besov–Hausdorff and Triebel–Lizorkin–Hausdorff spaces and their applications
30 pages, J. Math. Anal. Appl. (to appear).
Yuan, Wen +2 more
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A Multi‐Sequence Adversarial Fusion U‐Net for Brain Tumor Image Segmentation
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
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
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Sequentially Hausdorff and full sequentially Hausdorff spaces
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
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Net-Compact Hausdorff Topologies and Continuous Multi-Utility Representations for Closed Preorders
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
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On an algebraic version of Tamano’s theorem
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
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The geometric realization of a simplicial Hausdorff space is Hausdorff [PDF]
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.
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Fractal dimensions in the Gromov–Hausdorff space
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 ...
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