We introduce the p-adic weighted multilinear Hardy-Cesaro operator. We also obtain the necessary and sufficient conditions on weight functions to ensure the boundedness of that operator on the product of Lebesgue spac...We introduce the p-adic weighted multilinear Hardy-Cesaro operator. We also obtain the necessary and sufficient conditions on weight functions to ensure the boundedness of that operator on the product of Lebesgue spaces, Morrey spaces, and central bounded mean oscillation spaces. In each case, we obtain the corresponding operator norms. We also characterize the good weights for the boundedness of the commutator of weighted multilinear Hardy-Cesaro operator on the product of central Morrey spaces with symbols in central bounded mean oscillation spaces.展开更多
文摘We introduce the p-adic weighted multilinear Hardy-Cesaro operator. We also obtain the necessary and sufficient conditions on weight functions to ensure the boundedness of that operator on the product of Lebesgue spaces, Morrey spaces, and central bounded mean oscillation spaces. In each case, we obtain the corresponding operator norms. We also characterize the good weights for the boundedness of the commutator of weighted multilinear Hardy-Cesaro operator on the product of central Morrey spaces with symbols in central bounded mean oscillation spaces.
