170 citations · 1.4k across the 61 of their papers we have counts for
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Greedy bases in variable Lebesgue spaces
David Cruz-Uribe, SFO, Eugenio Hernández +1
We compute the right and left democracy functions of admissible wavelet bases in variable Lebesgue spaces defined on . As an application we give Lebesgue type inequalities for…
On the -Poisson semigroup associated with elliptic systems
José María Martell, Dorina Mitrea, Irina Mitrea +1
We study the infinitesimal generator of the Poisson semigroup in associated with homogeneous, second-order, strongly elliptic systems with constant complex coefficients in th…
Uniform Rectifiability, Carleson measure estimates, and approximation of harmonic functions
Steve Hofmann, Jose Maria Martell, Svitlana Mayboroda
Let , , be a uniformly rectifiable set of dimension . Then bounded harmonic functions in satisfy Carleson me…
A new characterization of chord-arc domains
Jonas Azzam, Steve Hofmann, José María Martell +2
We show that if , , is a uniform domain (aka 1-sided NTA domain), i.e., a domain which enjoys interior Corkscrew and Harnack Chain conditions, t…
Weighted Hardy spaces associated with elliptic operators. Part I: Weighted norm inequalities for conical square functions
José María Martell, Cruz Prisuelos-Arribas
This is the first part of a series of three articles. In this paper, we obtain weighted norm inequalities for different conical square functions associated with the Heat and the Po…
The higher order regularity Dirichlet problem for elliptic systems in the upper-half space
José María Martell, Dorina Mitrea, Irina Mitrea +1
We identify a large class of constant (complex) coefficient, second order elliptic systems for which the Dirichlet problem in the upper-half space with data in -based Sobolev…
The Dirichlet problem for elliptic systems with data in Köthe function spaces
José María Martell, Dorina Mitrea, Irina Mitrea +1
We show that the boundedness of the Hardy-Littlewood maximal operator on a Köthe function space and on its Köthe dual is equivalent to the well-posed…