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math.CA2018★ 1 cited
Regularity and continuity of local Multilinear Maximal type operator
Jarod Hart, Feng Liu, Qingying Xue
This paper will be devoted to study the regularity and continuity properties of the following local multilinear fractional type maximal operators, $$\mathfrak{M}_{α,Ω}(\vec{f})(x)=…
math.FA2018
Analysis of hyper-singular, fractional, and order-zero singular integral operators
Lucas Chaffee, Jarod Hart, Lucas Oliveira
In this article, we conduct a study of integral operators defined in terms of non-convolution type kernels with singularities of various degrees. The operators that fall within our…