6 papers
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)=…
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…
John-Nirenberg Inequalities and Weight Invariant BMO Spaces
Jarod Hart, Rodolfo H. Torres
This work explores new deep connections between John-Nirenberg type inequalities and Muckenhoupt weight invariance for a large class of -type spaces. The results are formulate…
An elementary approach to certain bilinear estimates
Jose A. Barrionuevo, Jarod Hart, Lucas Oliveira
We prove L2 x L2 to weak L1 estimates for some novel bilinear maximal operators of Kakeya and lacunary type thus extending to this setting, the works of Cordoba and of Nagel, Stein…
Hardy Space Estimates for Littlewood-Paley-Stein Square Functions and Calderón-Zygmund Operators
Jarod Hart, Guozhen Lu
In this work, we give new sufficient conditions for a Littlewood-Paley-Stein square function and necessary and sufficient conditions for a Calderón-Zygmund operator to be bounded o…
Multilinear local Tb for Square functions
Ana Grau de la Herran, Jarod Hart, Lucas Oliveira
In the present work we extend a local Tb theorem for square functions of Christ and Hofmann to the multilinear setting. We also present new BMO type interpolation result for square…