3 citations · 6 across the 10 of their papers we have counts for
11 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…
Smoothing Properties of Bilinear Operators and Leibniz-Type Rules in Lebesgue and Mixed Lebesgue Spaces
Jarod Hart, Rodolfo H. Torres, Xinfeng Wu
We prove that bilinear fractional integral operators and similar multipliers are smoothing in the sense that they improve the regularity of functions. We also treat bilinear singul…
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…
A Note on a Multilinear Local Theorem for Calderón-Zygmund Operators
Jarod Hart, Lucas Oliveira
In this short note, we extend a local theorem that was proved in \cite{GHO} to a full multilinear local theorem.
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…
Holomorphic extension on product Lipschitz surfaces in two complex variables
Jarod Hart, Alessandro Monguzzi
In this work we prove a new holomorphic extension result for functions defined on product Lipschitz surfaces with small Lipschitz constants in two complex variables. We defin…
Weighted Multilinear Square Function Bounds
Lucas Chaffee, Jarod Hart, Lucas Oliveira
In this work we study boundedness of Littlewood-Paley-Stein square func- tions associated to multilinear operators. We prove weighted Lebesgue space bounds for square functions und…
A Bilinear T(b) Theorem for Singular Integrals
Jarod Hart
In this work, we present a bilinear Tb theorem for singular integral operators of Calderón-Zygmund type. We prove some new accretive type Littlewood-Paley theory and bilinear parap…
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…