Weighted Lebesgue and central Morrey estimates for $p$-adic multilinear Hausdorff operators and its commutators
Abstract
UDC 517.9
We establish the sharp boundedness of $p$-adic multilinear Hausdorff operators on the product of Lebesgue and central Morrey spaces associated with both power weights and Muckenhoupt weights. Moreover, the boundedness for the commutators of $p$-adic multilinear Hausdorff operators on the such spaces with symbols in central BMO space is also obtained.
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