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In this paper, we study the sharp bounds for the generalized  m -linear  n -dimensional  p -adic Hardy-Littlewood-Pólya operator on central and noncentral  p -adic Morrey spaces with power weight. As an application, the sharp bounds for the  p -adic Hardy-Littlewood-Pólya operator on corresponding Morrey spaces are obtained. These results generalize substantially some well-known results.

journal of function spaces

Sharp Bounds for Generalized <math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"> <mi>m</mi> </math>-Linear <math xmlns="http://www.w3.org/1998/Math/MathML" id="M2"> <mi>n</mi> </math>-Dimensional <math xmlns="http://www.w3.org/1998/Math/MathML" id="M3"> <mi>p</mi> </math>-Adic Hardy-Littlewood-Pólya Operator

Sharp Bounds for Generalized m -Linear n -Dimensional p -Adic Hardy-Littlewood-Pólya Operator

Sharp Bounds for Generalized $m$ -Linear $n$ -Dimensional $p$ -Adic Hardy-Littlewood-Pólya Operator