69 citations · 371 across the 39 of their papers we have counts for
6 papers · 1 filter
Characterizing regularity of domains via Riesz transforms on their boundaries
D. Mitrea, M. Mitrea, J. Verdera
Given a domain D in R^d with mild geometric measure theoretic assumptions on its boundary, we show that boundedness of the principal value Riesz tranforms (witn kernel of homogenei…
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…
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…
A Bound for the Eigenvalue Counting Function for Higher-Order Krein Laplacians on Open Sets
Fritz Gesztesy, Ari Laptev, Marius Mitrea +1
For an arbitrary nonempty, open set , , of finite (Euclidean) volume, we consider the minimally defined higher-order Laplacian $(- Δ)^m\big…
Square Function Estimates in Spaces of Homogeneous Type and on Uniformly Rectifiable Euclidean Sets
Steve Hofmann, Dorina Mitrea, Marius Mitrea +1
We announce a local theorem, an inductive scheme, and extrapolation results for square function estimates related to the analysis of integral operators that act…