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   Articles with "hausdorff operator" as a keyword



A characterization of two-weight norm inequalities for multidimensional Hausdorff operators on Lebesgue spaces

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recommendations! Published in 2024 at "Positivity"

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

On the description of multidimensional normal Hausdorff operators on Lebesgue spaces

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recommendations! Published in 2019 at "Forum Mathematicum"

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

An analysis of the convergence problem of a function in functional norms by applying the product Hausdorff operator

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recommendations! Published in 2024 at "Filomat"

DOI: 10.2298/fil2422971n

Abstract: In this study, we have obtained results regarding the convergence properties of a function of derived conjugate Fourier series in weighted Lipschitz and generalized H?lder spaces. These results were obtained by utilizing the product Hausdorff… read more here.

Keywords: product hausdorff; convergence; hausdorff operator;
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Some results for the commutators of generalized Hausdorff operator

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recommendations! Published in 2019 at "Journal of Mathematical Inequalities"

DOI: 10.7153/jmi-2019-13-80

Abstract: In this paper, we study commutator of generalized Hausdorff operator on function spaces. We mainly discuss the continuity criteria for such commutator operator when the symbol functions are either from central-$BMO$ or Lipschitz class of… read more here.

Keywords: commutators generalized; hausdorff operator; generalized hausdorff; results commutators ... See more keywords