Hausdorff Operator on Weighted Lebesgue and Grand Lebesgue p-Adic Spaces

摘要

For Hausdorff operator of general type defined on p-adic linear space $mathbb{Q}_p^n$ ? p n , we give sufficient conditions of its boundedness in weighted Lebesgue and grand Lebesgue spaces. Sharpness of some these conditions is also established.