20 citations · 34 across the 11 of their papers we have counts for
12 papers
Rellich identities for the Hilbert transform
María J. Carro, Virginia Naibo, María Soria-Carro
We prove Hilbert transform identities involving conformal maps via the use of Rellich identity and the solution of the Neumann problem in a graph Lipschitz domain in the plane. We…
Pseudo-multipliers and smooth molecules on Hermite Besov and Hermite Triebel--Lizorkin spaces
Fu Ken Ly, Virginia Naibo
We obtain new molecular decompositions and molecular synthesis estimates for Hermite Besov and Hermite Triebel--Lizorkin spaces and use such tools to prove boundedness properties o…
Coifman-Meyer multipliers: Leibniz-type rules and applications to scattering of solutions to PDEs
Virginia Naibo, Alexander Thomson
Leibniz-type rules for Coifman-Meyer multiplier operators are studied in the settings of Triebel-Lizorkin and Besov spaces associated to weights in the Muckenhoupt classes. Even in…
Strongly singular bilinear Calderón-Zygmund operators and a class of bilinear pseudodifferential operators
Árpád Bényi, Lucas Chaffee, Virginia Naibo
Motivated by the study of kernels of bilinear pseudodifferential operators with symbols in a Hörmander class of critical order, we investigate boundedness properties of strongly si…
Kato-Ponce inequalities on weighted and variable Lebesgue spaces
David Cruz-Uribe, Virginia Naibo
We prove fractional Leibniz rules and related commutator estimates in the settings of weighted and variable Lebesgue spaces. Our main tools are uniform weighted estimates for seque…
A remark on an endpoint Kato-Ponce inequality
Loukas Grafakos, Diego Maldonado, Virginia Naibo
This note introduces bilinear estimates intended as a step towards an -endpoint Kato-Ponce inequality. In particular, a bilinear version of the classical Gagliardo-Nirenb…
On the Hörmander classes of bilinear pseudodifferential operators II
Árpad Bényi, Frédéric Bernicot, Diego Maldonado +2
Boundedness properties for pseudodifferential operators with symbols in the bilinear Hörmander classes of sufficiently negative order are proved. The results are obtained in the sc…
Regularity of solutions to degenerate -Laplacian equations
David Cruz-Uribe, Kabe Moen, Virginia Naibo
We prove regularity results for solutions of the equation \[div(< AXu,X u>^{(p-2)/2} AX u) = 0,\] , where is a family of vector fields satisfying Hörm…
Bilinear Sobolev-Poincare inequalities and Leibniz-type rules
Frederic Bernicot, Diego Maldonado, Kabe Moen +1
The dual purpose of this article is to establish bilinear Poincare-type estimates associated to an approximation of the identity and to explore the connections between bilinear pse…
Higher-order multilinear Poincaré and Sobolev inequalities in Carnot groups
Kabe Moen, Virginia Naibo
The notions of higher-order weighted multilinear Poincaré and Sobolev inequalities in Carnot groups are introduced. As an application, weighted Leibnitz-type rules in Campanato-Mor…
On the Hörmander classes of bilinear pseudodifferential operators
Árpád Bényi, Diego Maldonado, Virginia Naibo +1
Bilinear pseudodifferential operators with symbols in the bilinear analog of all the Hörmander classes are considered and the possibility of a symbolic calculus for the transposes…
Weighted multilinear Poincare inequalities for vector fields of Hormander type
Diego Maldonado, Kabe Moen, Virginia Naibo
As the classical -Poincaré inequality is known to fail for , we introduce the notion of weighted multilinear Poincaré inequality as a natural alternative when …