Abstract
For Hausdorff operator with generating function having support in the unit ball of p-adic field ℚ p we give sufficient and necessary conditions of its boundedness in BMO-type spaces: BLO(ℚ n p ), Q α,q r (ℚ n p ) and BMO α,q r (ℚ n p ). Some embedding relations between these spaces and Besov spaces are established.
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Volosivets, S.S. Hausdorff operator of special kind on p-adic field and BMO-type spaces. P-Adic Num Ultrametr Anal Appl 3, 149–156 (2011). https://doi.org/10.1134/S2070046611020063
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DOI: https://doi.org/10.1134/S2070046611020063