Continuity of Hardy type operators on rectangularly defined spaces

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:436

Article

Espinoza-Villalva, Carolina¹  Guzman-Partida, Martha¹ 

[1] Univ Sonora, Dept Matemat, Hermosillo 83000, Sonora, Mexico

关键词: Herz spaces;    n-dimensional Hardy operator;    Hausdorff operator;   

DOI  :  10.1016/j.jmaa.2015.11.047

来源: Elsevier

【 摘 要 】

We introduce a generalization of rectangular Herz spaces defined in [3] and prove boundedness of a version of the n-dimensional Hardy operator on them. We also study the action of the Hausdorff operator on some subspaces of BMO. (C) 2015 Elsevier Inc. All rights reserved.

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