Weak and strong estimates for rough Hausdorff type operator defined on p-adic linear space


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Abstract

For rough Hausdorff type operator defined on p-adic linear space Qpn and its commutator with symbol from Lipschitz space, we give sufficient conditions of their boundedness from one Lorentz space into another.

About the authors

S. S. Volosivets

Faculty of Mechanics and Mathematics

Author for correspondence.
Email: volosivetsss@mail.ru
Russian Federation, Astrakhanskaya Str. 83, Saratov, 410012

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