Hausdorff operators on the Sobolev spaces W^(k,1)
classification
🧮 math.CA
keywords
hausdorffoperatorsspacesboundednesshardyoperatorsobolevadjoint
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This paper is served as a first contribution regarding the boundedness of Hausdorff operators on function spaces with smoothness. The sharp conditions are established for boundedness of Hausdorff operators on Sobolev spaces $W^{k,1}$. As applications, some bounded and unbounded properties of Hardy operator and adjoint Hardy operator on $W^{k,1}$ are deduced.
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