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Abstract This paper is devoted to studying the vector-valued estimates for the limiting weak-type behaviors of singular and fractional integrals as well as maximal operators with homogeneous kernels. Under the… Click to show full abstract
Abstract This paper is devoted to studying the vector-valued estimates for the limiting weak-type behaviors of singular and fractional integrals as well as maximal operators with homogeneous kernels. Under the assumptions of that the kernels satisfy certain Dini-type conditions, the limiting weak-type behaviors for the corresponding vector-valued operators are given. Our results imply that the classical vector-valued weak-type endpoint estimates for singular and fractional integrals or maximal operators are not sharp.
Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2019
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