170 citations · 1.4k across the 61 of their papers we have counts for
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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…
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…