A characterization of two-weight norm inequalities for multidimensional Hausdorff operators on Lebesgue spaces
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DOI: 10.1007/s11117-024-01031-w
Abstract: In this paper we give necessary and sufficient conditions for the boundedness of the multidimensional Hausdorff operator on weighted Lebesgue spaces. In particular, we establish necessary and sufficient conditions for the boundedness of special type… read more here.
Keywords: characterization two; multidimensional hausdorff; hausdorff; lebesgue spaces ... See more keywords
Hypercyclicity of weighted translations on locally compact Hausdorff spaces
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DOI: 10.1080/14689367.2021.1931814
Abstract: Let G be a locally compact second countable Hausdorff space with a positive regular Borel measure and ω is a weight on G. In this article, we provide necessary and sufficient conditions for the hypercyclic… read more here.
Keywords: weighted translations; translations locally; hypercyclicity weighted; hausdorff ... See more keywords
Lower discrete Hausdorff dimension of spectra for Moran measure
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DOI: 10.1088/1361-6544/ad7808
Abstract: We show that the lower discrete Hausdorff dimension of any spectrum for Moran measure is bounded by the Hausdorff dimension of its support. read more here.
Keywords: discrete hausdorff; hausdorff; hausdorff dimension; moran measure ... See more keywords
On the description of multidimensional normal Hausdorff operators on Lebesgue spaces
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DOI: 10.1515/forum-2019-0097
Abstract: Abstract Hausdorff operators originated from some classical summation methods. Now this is an active research field. In the present article, a spectral representation for multidimensional normal Hausdorff operator is given. We show that normal Hausdorff… read more here.
Keywords: hausdorff operator; hausdorff operators; hausdorff; multidimensional normal ... See more keywords
Sharp constants for multilinear Hausdorff operators on local Morrey-type spaces
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DOI: 10.1515/forum-2022-0354
Abstract: Abstract Necessary and sufficient conditions for the boundedness of multilinear Hausdorff operators on local Morrey-type spaces are obtained and sharp constants are also given. As applications, we generalize our results to some concrete operators derived… read more here.
Keywords: hausdorff operators; operators local; multilinear hausdorff; morrey type ... See more keywords
A survey and exposition of sub-Hausdorff separation axioms
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DOI: 10.2989/16073606.2024.2393648
Abstract: Abstract This paper surveys and develops sub-Hausdorff axioms. It augments known relationships involving T0 (Kolmogorov), S0 (quasi-sobriety), S1 (sobriety), T1 (Fréchet), and T2 (Hausdorff ) by examining a large suite of sub-Hausdorff axioms. Emphasis is… read more here.
Keywords: hausdorff axioms; sub hausdorff; hausdorff; survey exposition ... See more keywords