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Boundedness of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:math>-Adic Hardy Operators and Their Commutators on<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M2"><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:math>-Adic Central Morrey and BMO Spaces
We obtain the sharp bounds of p -adic Hardy operators on p -adic central Morrey spaces and p -adic<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M3"><mml:mrow><mml:mi>λ</mml:mi></mml:mrow></mml:math>-central BMO spaces, respectively. We also establish the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M4"><mml:mrow><mml:mi>λ</mml:mi></mml:mrow></mml:math>-central BMO estimates for commutators of p -adic Hardy operators on p -adic central Morrey spaces.