Hausdorff operator of special kind on <Emphasis Type="Italic">p</Emphasis>-adic field and <Emphasis Type="Italic">BMO</Emphasis>-type spaces |
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Authors: | S S Volosivets |
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Institution: | 1.Faculty of Mechanics and Mathematics,Saratov State University,Saratov,Russia |
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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
p
n
), Q
r
α,q
(ℚ
p
n
) and BMO
r
α,q
(ℚ
p
n
). Some embedding relations between these spaces and Besov spaces are established. |
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Keywords: | |
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