The unboundedness of Hausdorff operators on quasi‐Banach spaces
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DOI: 10.1002/mma.7716
Abstract: In this note, we show that the Hausdorff operator $H_{\Phi}$ is unbounded on a large family of Quasi-Banach spaces, unless $H_{\Phi}$ is a zero operator. read more here.
Keywords: hausdorff operators; unboundedness hausdorff; quasi banach; banach spaces ... 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
Hausdorff Operators of Special Kind in BMO-type Spaces and Hölder–Lipschitz Spaces
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DOI: 10.3103/s1066369x20120026
Abstract: We show that some BMO-type spaces are invariant with respect to Hausdorff operators of a special kind (weighted Hardy–Cesaro operators). Moreover, we establish the necessary and sufficient conditions for the boundedness of such operators in… read more here.
Keywords: operators special; bmo type; type spaces; lipschitz spaces ... See more keywords