Zobrazeno 1 - 10
of 63
pro vyhledávání: '"Hart, Jarod"'
This paper will be devoted to study the regularity and continuity properties of the following local multilinear fractional type maximal operators, $$\mathfrak{M}_{\alpha,\Omega}(\vec{f})(x)=\sup\limits_{0
Externí odkaz:
http://arxiv.org/abs/1806.06627
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 scope of research include fractional integrals, fractional derivative
Externí odkaz:
http://arxiv.org/abs/1801.04285
Autor:
Hart, Jarod, Torres, Rodolfo H.
This work explores new deep connections between John-Nirenberg type inequalities and Muckenhoupt weight invariance for a large class of $BMO$-type spaces. The results are formulated in a very general framework in which $BMO$ spaces are constructed us
Externí odkaz:
http://arxiv.org/abs/1707.01141
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 singular multiplier operators which preserve regularity and obtain several L
Externí odkaz:
http://arxiv.org/abs/1701.02631
Publikováno v:
Indiana University Mathematics Journal, 2020 Jan 01. 69(6), 1855-1907.
Externí odkaz:
https://www.jstor.org/stable/26959878
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 and Wainger.
Externí odkaz:
http://arxiv.org/abs/1602.03675
Autor:
Hart, Jarod, Oliveira, Lucas
In this short note, we extend a local $Tb$ theorem that was proved in \cite{GHO} to a full multilinear local $Tb$ theorem.
Comment: 4 pages
Comment: 4 pages
Externí odkaz:
http://arxiv.org/abs/1509.06399
Autor:
Hart, Jarod, Lu, Guozhen
In this work, we give new sufficient conditions for a Littlewood-Paley-Stein square function and necessary and sufficient conditions for a Calder\'on-Zygmund operator to be bounded on Hardy spaces $H^p$ with indices smaller than $1$. New Carleson mea
Externí odkaz:
http://arxiv.org/abs/1505.02185
Autor:
Hart, Jarod, Monguzzi, Alessandro
In this work we prove a new $L^p$ holomorphic extension result for functions defined on product Lipschitz surfaces with small Lipschitz constants in two complex variables. We define biparameter and partial Cauchy integral operators that play the role
Externí odkaz:
http://arxiv.org/abs/1401.2361
Publikováno v:
Transactions of the American Mathematical Society, 2018 Dec 01. 370(12), 8581-8612.
Externí odkaz:
https://www.jstor.org/stable/90025823