Albert Mas
Polytechnic University of Catalonia
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Publication
Featured researches published by Albert Mas.
arXiv: Classical Analysis and ODEs | 2012
Albert Mas; Xavier Tolsa
We prove that, for r>2, the r-variation and oscillation for the smooth truncations of the Cauchy transform on Lipschitz graphs are bounded in L^p for 1<p finite. The analogous result holds for the n-dimensional Riesz transform on n-dimensional Lipschitz graphs, as well as for other singular integral operators with odd kernel. In particular, our results strengthen the classical theorem on the L^2 boundedness of the Cauchy transform on Lipschitz graphs by Coifman, McIntosh, and Meyer.
Journal of the European Mathematical Society | 2014
Albert Mas; Xavier Tolsa
For 0 2, we prove that an n-dimensional Ahlfors-David regular measure M in R^d is uniformly n-rectifiable if and only if the r-variation for the Riesz transform with respect to M is a bounded operator in L^2(M). This result can be considered as a partial solution to a well known open problem posed by G. David and S. Semmes which relates the L^2(M) boundedness of the Riesz transform to the uniform rectifiability of M.
Communications in Mathematical Physics | 2016
Naiara Arrizabalaga; Albert Mas; Luis Vega
In this article we investigate spectral properties of the coupling
Siam Journal on Mathematical Analysis | 2015
Naiara Arrizabalaga; Albert Mas; Luis Vega
Analysis & PDE | 2018
Albert Mas; Fabio Pizzichillo
{H + V_\lambda}
Journal of Mathematical Physics | 2017
Albert Mas
Duke Mathematical Journal | 2010
Albert Mas; Mark Melnikov; Xavier Tolsa
H+Vλ, where
Journal de Mathématiques Pures et Appliquées | 2014
Naiara Arrizabalaga; Albert Mas; Luis Vega
Transactions of the American Mathematical Society | 2013
Albert Mas
{H = -i\alpha \cdot \nabla+m\beta}
arXiv: Analysis of PDEs | 2017
Albert Mas; Fabio Pizzichillo