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
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