activity
20122021
most citedSelf-adjoint extensions of Dirac operators with Coulomb type singularity

33 citations · 37 across the 5 of their papers we have counts for

collaborators

7 papers

math.CA2021★ 4 cited

Weighted Lorentz spaces: sharp mixed estimate for maximal functions

Natalia Accomazzo, Javier Duoandikoetxea, Zoe Nieraeth +2

We prove the sharp mixed weighted estimate for the Hardy-Littlewood maximal function in the context of weighted Lorentz spaces, namely \[ \|M\|_{L^{p,q}(w)} \les…

math.FA2021

Singular and fractional integral operators on weighted local Morrey spaces

Javier Duoandikoetxea, Marcel Rosenthal

We obtain a characterization of the weighted inequalities for the Riesz transforms on weighted local Morrey spaces. The condition is sufficient for the boundedness on the same spac…

math.FA2020

Muckenhoupt-type conditions on weighted Morrey spaces

Javier Duoandikoetxea, Marcel Rosenthal

We define a Muckenhoup-type condition on weighted Morrey spaces using the Köthe dual of the space. We show that the condition is necessary and sufficient for the boundedness of the…

math.FA2019

Boundedness properties in a family of weighted Morrey spaces with emphasis on power weights

Javier Duoandikoetxea, Marcel Rosenthal

We define a scale of weighted Morrey spaces which contains different weighted versions appearing in the literature. This allows us to obtain weighted estimates for operators in a u…

math.FA2019

Boundedness of operators on certain power-weighted Morrey spaces beyond the Muckenhoupt weights

Javier Duoandikoetxea, Marcel Rosenthal

We prove that for operators satistying weighted inequalities with weights the boundedness on a certain class of Morrey spaces holds with weights of the form for $…

math.FA2016

Extension and boundedness of operators on Morrey spaces from extrapolation techniques and embeddings

Javier Duoandikoetxea, Marcel Rosenthal

We prove that operators satisfying the hypotheses of the extrapolation theorem for Muckenhoupt weights are bounded on weighted Morrey spaces. As a consequence, we obtain at once a…

math.AP2012★ 33 cited

Self-adjoint extensions of Dirac operators with Coulomb type singularity

Naiara Arrizabalaga, Javier Duoandikoetxea, Luis Vega

In this work we construct self-adjoint extensions of the Dirac operator associated to Hermitian matrix potentials with Coulomb decay and prove that the domain is maximal. The resul…